Abstract

In this paper, we systematically investigate the optical forces exerted on a black phosphorus (BP) coated dielectric particle by a Gaussian beam. The optical forces of the BP coated particle could be modified effectively by tuning the characteristics of the BP layer, such as the carrier density, BP thickness, and the angular dependence of anisotropic conductivity. The resonant mechanism and whispering gallery mode of the BP coated particle are analyzed. Furthermore, the multi-polar surface plasmons of the BP coated dielectric particle excited by the Laguerre Gaussian beam in the infrared band are also investigated. These investigations provide rich potential applications in flexible optical manipulation and optoelectronic devices.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
OSA Recommended Articles
Optical forces exerted on a graphene-coated dielectric particle by a focused Gaussian beam

Yang Yang, Zhe Shi, Jiafang Li, and Zhi-Yuan Li
Photon. Res. 4(2) 65-69 (2016)

Calculation of radiation forces exerted on a uniaxial anisotropic sphere by an off-axis incident Gaussian beam

Zheng-Jun Li, Zhen-Sen Wu, and Qing-Chao Shang
Opt. Express 19(17) 16044-16057 (2011)

References

  • View by:
  • |
  • |
  • |

  1. A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
    [Crossref]
  2. L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
    [Crossref] [PubMed]
  3. V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
    [Crossref]
  4. M. Nieto-Vesperinas, “The optical torque: Electromagnetic spin and orbital angular momenta conservation laws and their significance,” Phys. Rev. A 92(4), 043843 (2015).
    [Crossref]
  5. S. Kawata and T. Sugiura, “Movement of micrometer-sized particles in the evanescent field of a laser beam,” Opt. Lett. 17(11), 772–774 (1992).
    [Crossref] [PubMed]
  6. C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
    [Crossref]
  7. D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
    [Crossref]
  8. O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
    [Crossref] [PubMed]
  9. S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
    [Crossref] [PubMed]
  10. M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
    [Crossref] [PubMed]
  11. T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
    [Crossref] [PubMed]
  12. S. B. Wang and C. T. Chan, “Lateral optical force on chiral particles near a surface,” Nat. Commun. 5, 3307–3314 (2014).
    [PubMed]
  13. A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
    [Crossref]
  14. J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
    [Crossref] [PubMed]
  15. R. Sainidou and F. J. García de Abajo, “Optically tunable surfaces with trapped particles in microcavities,” Phys. Rev. Lett. 101(13), 136802 (2008).
    [Crossref] [PubMed]
  16. M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
    [Crossref] [PubMed]
  17. K. C. Neuman and A. Nagy, “Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy,” Nat. Methods 5(6), 491–505 (2008).
    [Crossref] [PubMed]
  18. A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
    [Crossref] [PubMed]
  19. L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
    [Crossref] [PubMed]
  20. A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
    [Crossref] [PubMed]
  21. H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
    [Crossref] [PubMed]
  22. X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
    [Crossref] [PubMed]
  23. V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
    [Crossref]
  24. A. N. Rudenko and M. I. Katsnelson, “Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus,” Phys. Rev. B 89(20), 201408 (2014).
    [Crossref]
  25. J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
    [Crossref] [PubMed]
  26. J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
    [Crossref] [PubMed]
  27. H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
    [Crossref] [PubMed]
  28. F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
    [Crossref] [PubMed]
  29. T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
    [Crossref]
  30. N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
    [Crossref]
  31. J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
    [Crossref]
  32. Y. Yang, Z. Shi, J. F. Li, and Z. Y. Li, “Optical forces exerted on a graphene-coated dielectric particle by a focused Gaussian beam,” Photon. Res. 4(2), 65–69 (2016).
    [Crossref]
  33. J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
    [Crossref]
  34. Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
    [Crossref] [PubMed]
  35. T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
    [Crossref] [PubMed]
  36. J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66(7), 2800–2802 (1989).
    [Crossref]
  37. P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
    [Crossref]
  38. P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
    [Crossref]
  39. B. R. Johnson, “Theory of morphology-dependent resonances: shape resonances and width formulas,” J. Opt. Soc. Am. A 10(2), 343–352 (1993).
    [Crossref]
  40. Y. Yang, W. P. Zang, Z. Y. Zhao, and J. G. Tian, “Morphology-dependent resonance of the optical forces on Mie particles in an Airy beam,” Opt. Express 21(5), 6186–6195 (2013).
    [Crossref] [PubMed]
  41. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
    [Crossref] [PubMed]
  42. R. K. Arora and Z. Lu, “Graphical study of Laguerre-Gaussian beam modes,” IEE Proc., Microw. Antennas Propag. 141(3), 145–150 (1994).
    [Crossref]
  43. M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
    [Crossref]
  44. S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
    [Crossref]
  45. Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
    [Crossref] [PubMed]
  46. N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
    [Crossref]

2017 (1)

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

2016 (5)

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Y. Yang, Z. Shi, J. F. Li, and Z. Y. Li, “Optical forces exerted on a graphene-coated dielectric particle by a focused Gaussian beam,” Photon. Res. 4(2), 65–69 (2016).
[Crossref]

2015 (6)

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

M. Nieto-Vesperinas, “The optical torque: Electromagnetic spin and orbital angular momenta conservation laws and their significance,” Phys. Rev. A 92(4), 043843 (2015).
[Crossref]

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

2014 (12)

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

A. N. Rudenko and M. I. Katsnelson, “Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus,” Phys. Rev. B 89(20), 201408 (2014).
[Crossref]

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
[Crossref] [PubMed]

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

S. B. Wang and C. T. Chan, “Lateral optical force on chiral particles near a surface,” Nat. Commun. 5, 3307–3314 (2014).
[PubMed]

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
[Crossref] [PubMed]

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

2013 (6)

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

Y. Yang, W. P. Zang, Z. Y. Zhao, and J. G. Tian, “Morphology-dependent resonance of the optical forces on Mie particles in an Airy beam,” Opt. Express 21(5), 6186–6195 (2013).
[Crossref] [PubMed]

Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
[Crossref] [PubMed]

2010 (1)

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

2009 (1)

M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
[Crossref] [PubMed]

2008 (3)

K. C. Neuman and A. Nagy, “Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy,” Nat. Methods 5(6), 491–505 (2008).
[Crossref] [PubMed]

R. Sainidou and F. J. García de Abajo, “Optically tunable surfaces with trapped particles in microcavities,” Phys. Rev. Lett. 101(13), 136802 (2008).
[Crossref] [PubMed]

S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
[Crossref]

2007 (1)

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[Crossref] [PubMed]

1994 (1)

R. K. Arora and Z. Lu, “Graphical study of Laguerre-Gaussian beam modes,” IEE Proc., Microw. Antennas Propag. 141(3), 145–150 (1994).
[Crossref]

1993 (1)

1992 (2)

S. Kawata and T. Sugiura, “Movement of micrometer-sized particles in the evanescent field of a laser beam,” Opt. Lett. 17(11), 772–774 (1992).
[Crossref] [PubMed]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

1989 (2)

J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66(7), 2800–2802 (1989).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
[Crossref]

1988 (1)

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
[Crossref]

1978 (1)

P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
[Crossref]

1972 (1)

P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

1970 (1)

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
[Crossref]

Acimovic, S. S.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Agraït, N.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Alexander, D. R.

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
[Crossref]

J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66(7), 2800–2802 (1989).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
[Crossref]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

Arita, Y.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
[Crossref] [PubMed]

Arora, R. K.

R. K. Arora and Z. Lu, “Graphical study of Laguerre-Gaussian beam modes,” IEE Proc., Microw. Antennas Propag. 141(3), 145–150 (1994).
[Crossref]

Ashkin, A.

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
[Crossref]

Auñón, J. M.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Avouris, P.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Aydin, K.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

Barton, J. P.

J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66(7), 2800–2802 (1989).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
[Crossref]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

Berthelot, J.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Busch, T.

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

Cao, T.

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

Carvalho, A.

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
[Crossref] [PubMed]

Castellanos-Gomez, A.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Castro Neto, A. H.

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
[Crossref] [PubMed]

Chan, C. T.

S. B. Wang and C. T. Chan, “Lateral optical force on chiral particles near a surface,” Nat. Commun. 5, 3307–3314 (2014).
[PubMed]

Chen, C.

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

Chen, X. H.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Cheong, F. C.

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Christy, R.

P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Chylek, P.

P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
[Crossref]

Deng, Y.

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

Dholakia, K.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
[Crossref] [PubMed]

Ding, W.

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Ding, W. Q.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

Ding, X. M.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

Dogariu, A.

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

Dowling, J. P.

S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
[Crossref]

Du, Y.

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

Durand, A. C.

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

Ebbesen, T. W.

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

Feng, D.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Ferrari, A. C.

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Forties, R. A.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Fulbright, R. M.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Gao, D.

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Gao, D. L.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

García de Abajo, F. J.

R. Sainidou and F. J. García de Abajo, “Optically tunable surfaces with trapped particles in microcavities,” Phys. Rev. Lett. 101(13), 136802 (2008).
[Crossref] [PubMed]

Ge, Q.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Geim, A. K.

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[Crossref] [PubMed]

Genet, C.

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

Grimm, R.

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

Gucciardi, P. G.

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Guinea, F.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Hu, Z. X.

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

Hutchison, J. A.

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

Inman, J. T.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Jauffred, L.

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Ji, W.

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

Jia, Y.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
[Crossref] [PubMed]

Jiang, Y.

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

Johnson, B. R.

Johnson, P.

P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Jones, A. M.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

Jones, P. H.

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Juan, M. L.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Kajorndejnukul, V.

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

Kapale, K. T.

S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
[Crossref]

Katsnelson, M. I.

A. N. Rudenko and M. I. Katsnelson, “Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus,” Phys. Rev. B 89(20), 201408 (2014).
[Crossref]

Kawata, S.

Kiehl, J. T.

P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
[Crossref]

Ko, M. K. W.

P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
[Crossref]

Koester, S. J.

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

Kong, X.

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

Kreuzer, M. P.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Li, J. F.

Li, L.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Li, M.

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
[Crossref] [PubMed]

Li, Z. Y.

Liang, Y. F.

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

Lim, C. T.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Lin, J.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Linke, H.

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Lipson, M.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Liu, H.

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Liu, Z.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

Lo Gullo, N.

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

Low, T.

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Lu, Z.

R. K. Arora and Z. Lu, “Graphical study of Laguerre-Gaussian beam modes,” IEE Proc., Microw. Antennas Propag. 141(3), 145–150 (1994).
[Crossref]

Luo, Z.

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Mahdy, M. R. C.

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Mao, L.

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

Maragò, O. M.

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Mazilu, M.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
[Crossref] [PubMed]

McEndoo, S.

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

Molina-Mendoza, A. J.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Moreno, L. M.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Nagy, A.

K. C. Neuman and A. Nagy, “Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy,” Nat. Methods 5(6), 491–505 (2008).
[Crossref] [PubMed]

Neal, A. T.

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Neuman, K. C.

K. C. Neuman and A. Nagy, “Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy,” Nat. Methods 5(6), 491–505 (2008).
[Crossref] [PubMed]

Nieto-Vesperinas, M.

M. Nieto-Vesperinas, “The optical torque: Electromagnetic spin and orbital angular momenta conservation laws and their significance,” Phys. Rev. A 92(4), 043843 (2015).
[Crossref]

Novoselov, K. S.

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[Crossref] [PubMed]

Oddershede, L. B.

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Ou, X.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Parente, V.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Pasquiou, B.

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

Paternostro, M.

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

Pernice, W. H. P.

M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
[Crossref] [PubMed]

Qiao, J.

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

Qiu, C. W.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

Quereda, J.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Quidant, R.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Rahman, M.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

Renger, J.

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

Rodin, A. S.

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
[Crossref] [PubMed]

Roldán, R.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Rubio-Bollinger, G.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Rudenko, A. N.

A. N. Rudenko and M. I. Katsnelson, “Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus,” Phys. Rev. B 89(20), 201408 (2014).
[Crossref]

Sainidou, R.

R. Sainidou and F. J. García de Abajo, “Optically tunable surfaces with trapped particles in microcavities,” Phys. Rev. Lett. 101(13), 136802 (2008).
[Crossref] [PubMed]

San-Jose, P.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Saraf, S. N.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Schaub, S. A.

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
[Crossref]

Schmitt, R.

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Schreck, F.

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

Seyler, K. L.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

Shi, Z.

Soklaski, R.

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

Soltani, M.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

Stellmer, S.

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

Sugiura, T.

Sukhov, S.

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

Taheri, S. M.

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Tang, H. X.

M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
[Crossref] [PubMed]

Thanvanthri, S.

S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
[Crossref]

Tian, J. G.

Tománek, D.

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Tran, V.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

Vaquero-Garzon, L.

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Vesperinas, M. N.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

Vettenburg, T.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Volpe, G.

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Wang, H.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
[Crossref] [PubMed]

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Wang, M. D.

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

Wang, S. B.

S. B. Wang and C. T. Chan, “Lateral optical force on chiral particles near a surface,” Nat. Commun. 5, 3307–3314 (2014).
[PubMed]

Wang, X.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

Wang, Z.

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

Wright, E. M.

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

Wu, H.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Xia, F.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

Xu, X.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Yang, F.

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

Yang, L.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

Yang, Y.

Ye, G. J.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Ye, P. D.

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Youngblood, N.

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

Yu, Y.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Zang, W. P.

Zhang, T.

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

Zhang, T. H.

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

Zhang, Y.

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

Zhao, H.

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

Zhao, Z. Y.

Zhu, Z.

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

ACS Nano (1)

H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, “Phosphorene: an unexplored 2D semiconductor with a high hole mobility,” ACS Nano 8(4), 4033–4041 (2014).
[Crossref] [PubMed]

Chem. Soc. Rev. (1)

H. Liu, Y. Du, Y. Deng, and P. D. Ye, “Semiconducting black phosphorus: synthesis, transport properties and electronic applications,” Chem. Soc. Rev. 44(9), 2732–2743 (2015).
[Crossref] [PubMed]

IEE Proc., Microw. Antennas Propag. (1)

R. K. Arora and Z. Lu, “Graphical study of Laguerre-Gaussian beam modes,” IEE Proc., Microw. Antennas Propag. 141(3), 145–150 (1994).
[Crossref]

J. Appl. Phys. (3)

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64(4), 1632–1639 (1988).
[Crossref]

J. P. Barton, D. R. Alexander, and S. A. Schaub, “Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam,” J. Appl. Phys. 66(10), 4594–4602 (1989).
[Crossref]

J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66(7), 2800–2802 (1989).
[Crossref]

J. Opt. Soc. Am. A (1)

Light Sci. Appl. (2)

C. W. Qiu, W. Ding, M. R. C. Mahdy, D. Gao, T. Zhang, F. C. Cheong, A. Dogariu, Z. Wang, and C. T. Lim, “Photon momentum transfer in inhomogeneous dielectric mixtures and induced tractor beams,” Light Sci. Appl. 4(4), e278 (2015).
[Crossref]

D. L. Gao, W. Q. Ding, M. N. Vesperinas, X. M. Ding, M. Rahman, T. H. Zhang, C. T. Lim, and C. W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6(9), e17039 (2017).
[Crossref]

Nano Lett. (3)

L. Jauffred, S. M. Taheri, R. Schmitt, H. Linke, and L. B. Oddershede, “Optical Trapping of Gold Nanoparticles in Air,” Nano Lett. 15(7), 4713–4719 (2015).
[Crossref] [PubMed]

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

J. Quereda, P. San-Jose, V. Parente, L. Vaquero-Garzon, A. J. Molina-Mendoza, N. Agraït, G. Rubio-Bollinger, F. Guinea, R. Roldán, and A. Castellanos-Gomez, “Strong Modulation of Optical Properties in Black Phosphorus through Strain-Engineered Rippling,” Nano Lett. 16(5), 2931–2937 (2016).
[Crossref] [PubMed]

Nanoscale (1)

T. Cao, L. Mao, D. Gao, W. Ding, and C. W. Qiu, “Fano resonant Ge2Sb2Te5 nanoparticles realize switchable lateral optical force,” Nanoscale 8(10), 5657–5666 (2016).
[Crossref] [PubMed]

Nat. Commun. (4)

S. B. Wang and C. T. Chan, “Lateral optical force on chiral particles near a surface,” Nat. Commun. 5, 3307–3314 (2014).
[PubMed]

J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5, 4475–4481 (2014).
[Crossref] [PubMed]

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458–4463 (2014).
[Crossref] [PubMed]

Y. Arita, M. Mazilu, and K. Dholakia, “Laser-induced rotation and cooling of a trapped microgyroscope in vacuum,” Nat. Commun. 4, 2374–2380 (2013).
[Crossref] [PubMed]

Nat. Mater. (1)

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[Crossref] [PubMed]

Nat. Methods (1)

K. C. Neuman and A. Nagy, “Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy,” Nat. Methods 5(6), 491–505 (2008).
[Crossref] [PubMed]

Nat. Nanotechnol. (5)

M. Soltani, J. Lin, R. A. Forties, J. T. Inman, S. N. Saraf, R. M. Fulbright, M. Lipson, and M. D. Wang, “Nanophotonic trapping for precise manipulation of biomolecular arrays,” Nat. Nanotechnol. 9(6), 448–452 (2014).
[Crossref] [PubMed]

L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, “Black phosphorus field-effect transistors,” Nat. Nanotechnol. 9(5), 372–377 (2014).
[Crossref] [PubMed]

X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, “Highly anisotropic and robust excitons in monolayer black phosphorus,” Nat. Nanotechnol. 10(6), 517–521 (2015).
[Crossref] [PubMed]

J. Berthelot, S. S. Aćimović, M. L. Juan, M. P. Kreuzer, J. Renger, and R. Quidant, “Three-dimensional manipulation with scanning near-field optical nanotweezers,” Nat. Nanotechnol. 9(4), 295–299 (2014).
[Crossref] [PubMed]

O. M. Maragò, P. H. Jones, P. G. Gucciardi, G. Volpe, and A. C. Ferrari, “Optical trapping and manipulation of nanostructures,” Nat. Nanotechnol. 8(11), 807–819 (2013).
[Crossref] [PubMed]

Nat. Photonics (2)

V. Kajorndejnukul, W. Q. Ding, S. Sukhov, C. W. Qiu, and A. Dogariu, “Linear momentum increase and negative optical forces at dielectric interface,” Nat. Photonics 7(10), 787–790 (2013).
[Crossref]

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

New J. Phys. (1)

A. C. Durand, J. A. Hutchison, C. Genet, and T. W. Ebbesen, “Mechanical separation of chiral dipoles by chiral light,” New J. Phys. 15(12), 123037 (2013).
[Crossref]

Opt. Express (1)

Opt. Lett. (1)

Photon. Res. (1)

Phys. Rev. A (6)

N. Lo Gullo, S. McEndoo, T. Busch, and M. Paternostro, “Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams,” Phys. Rev. A 81(5), 053625 (2010).
[Crossref]

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, and K. Dholakia, “Orbital-angular-momentum transfer to optically levitated microparticles in vacuum,” Phys. Rev. A 94(5), 053821 (2016).
[Crossref]

S. Thanvanthri, K. T. Kapale, and J. P. Dowling, “Arbitrary coherent superpositions of quantized vortices in Bose-Einstein condensates via orbital angular momentum of light,” Phys. Rev. A 77(5), 053825 (2008).
[Crossref]

M. Nieto-Vesperinas, “The optical torque: Electromagnetic spin and orbital angular momenta conservation laws and their significance,” Phys. Rev. A 92(4), 043843 (2015).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref] [PubMed]

P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial-wave resonances,” Phys. Rev. A 18(5), 2229–2233 (1978).
[Crossref]

Phys. Rev. B (4)

P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. Castro Neto, “Tunable optical properties of multilayer black phosphorus thin films,” Phys. Rev. B 90(7), 075434 (2014).
[Crossref]

V. Tran, R. Soklaski, Y. F. Liang, and L. Yang, “Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus,” Phys. Rev. B 89, 235319 (2014).
[Crossref]

A. N. Rudenko and M. I. Katsnelson, “Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus,” Phys. Rev. B 89(20), 201408 (2014).
[Crossref]

Phys. Rev. Lett. (6)

A. S. Rodin, A. Carvalho, and A. H. Castro Neto, “Strain-Induced Gap Modification in Black Phosphorus,” Phys. Rev. Lett. 112(17), 176801 (2014).
[Crossref] [PubMed]

R. Sainidou and F. J. García de Abajo, “Optically tunable surfaces with trapped particles in microcavities,” Phys. Rev. Lett. 101(13), 136802 (2008).
[Crossref] [PubMed]

M. Li, W. H. P. Pernice, and H. X. Tang, “Reactive cavity optical force on microdisk-coupled nanomechanical beam waveguides,” Phys. Rev. Lett. 103(22), 223901 (2009).
[Crossref] [PubMed]

S. Stellmer, B. Pasquiou, R. Grimm, and F. Schreck, “Laser cooling to quantum degeneracy,” Phys. Rev. Lett. 110(26), 263003 (2013).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
[Crossref]

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

A focused Gaussian beam with waist radius w0 is incident upon a BP-coated polystyrene spherical particle with radius R. The angle between the polarization of incident Gaussian wave and the main armchair direction in the scattering cross section plane is θ.

Fig. 2
Fig. 2

Vertical optical force spectra Fz of the BP-coated polystyrene particle exerted by Gaussian beam with different: (a) particle radius, while carrier density n = 3 × 1013 cm−2; (b) carrier density, while particle radius R = 100 nm. (c) Horizontal optical force Fx as a function of lateral displacement of particle with respect to the beam center at wavelength λ = 6 nm.

Fig. 3
Fig. 3

Variation of the vertical optical force spectra of the BP-coated polystyrene particle with different: (a) angle between the polarization of incident wave and the armchair direction; (b) number of BP layers; (c) electron relaxation rate η. (d) Optical force spectra of a BP-coated Drude particle.

Fig. 4
Fig. 4

Comparison of the electric field distributions of (a) bare polystyrene particle and (b) BP coated polystyrene on resonance. (c) (d): whispering gallery mode field distributions of the BP coated polystyrene particle on the electric multipole resonance of l = 6 and l = 10, respectively.

Fig. 5
Fig. 5

Optical extinction spectra Qext of a BP coated dielectric particle excited by LG beam of order p = 0 with vortex phase factor: s = 0~5. The lines in the figure represent the extinction spectra contributed by all modes and discrete plasmon modes of dipole, quadrupole, octupole, l = 4, l = 5, respectively.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

A lm = 1 l( l+1 ) ψ l ( α 2 ) 0 2π 0 π E r ( i ) ( R,θ,ϕ ) Y lm * ( θ,ϕ )sinθdθdϕ , B lm = 1 l( l+1 ) ψ l ( α 2 ) 0 2π 0 π H r ( i ) ( R,θ,ϕ ) Y lm * ( θ,ϕ )sinθdθdϕ .
e r ×( E i + E s E w )=0. e r ×( H i + H s H w )=K=σ( ω ) E .
a l = n ˜ ψ l ( α 1 ) ψ l ( α 2 ) ψ l ( α 2 ) ψ l ( α 1 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ψ l ( α 2 ) n ˜ ψ l ( α 1 ) ξ l ( α 2 ) ξ l ( 1 ) ( α 2 ) ψ l ( α 1 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ξ l ( α 2 ) ,
b l = n ˜ ψ l ( α 1 ) ψ l ( α 2 ) ψ l ( α 1 ) ψ l ( α 2 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ψ l ( α 2 ) n ˜ ψ l ( α 1 ) ξ l ( α 2 ) ψ l ( α 1 ) ξ l ( 1 ) ( α 2 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ξ l ( α 2 ) ,
c l = n ˜ ψ l ( α 2 ) ξ l ( α 2 ) ψ l ( α 2 ) ξ l ( 1 ) ( α 2 ) n ˜ ψ l ( α 1 ) ξ l ( α 2 ) ξ l ( 1 ) ( α 2 ) ψ l ( α 1 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ξ l ( α 2 ) ,
d l = ψ l ( α 2 ) ξ l ( α 2 ) ψ l ( α 2 ) ξ l ( 1 ) ( α 2 ) n ˜ ψ l ( α 1 ) ξ l ( α 2 ) ψ l ( α 1 ) ξ l ( 1 ) ( α 2 )+( 1/ n 2 )S( ω ) ψ l ( α 1 ) ξ l ( α 2 ) .
σ jj = i D j π( ω+ iη/ ) , D j = π e 2 n m j ,
m x = 2 2 γ 2 Δ + η c , m y = 2 2 v c ,
A= e ^ x u(r,θ,z)exp( ikz ), u(r,θ,z)= A ps ( w 0 w z ) f ps ( ρ )exp( i k r 2 2R( z ) )exp( isϕ )exp[ i( 2p+s+1 )ζ( z ) ].
w z = w 0 [ 1+ ( z z R ) 2 ] 1/2 ,ζ( z )= tan 1 ( z z R ),R( z )= z 2 + z R 2 z , f ps ( ρ )= ρ s L p s ( ρ 2 )exp( ρ 2 /2 ),ρ= 2 r w z , A ps = 2 w 0 1+ δ 0s p! π( p+s )! .
H=( 1/μ )×A, E=iω[ A+( 1/ k 2 )( A ) ].
W ext =Re( E i × H s * + E s × H i * )= c 8π k 2 Re lm l( l+1 )[ Re( A lm a lm * + B lm b lm * ) ] .
Q ext = W ext / ( I i σ ) .