Skip to main content
Log in

First-principle study on the optical response of phosphorene

  • Research Article
  • Published:
Frontiers of Physics Aims and scope Submit manuscript

Abstract

The optical response of phosphorene nanostructures was studied using time-dependent density functional theory (TDDFT). Compared with the absorption spectrum of graphene, that of the phosphorene nanostructure exhibits high absorbance in the ultraviolet region, which indicates a high light absorptivity. In a low-energy resonance zone, a spectral band extends to the entire near-infrared regions. When the impulse excitation polarizes in the armchair-edge direction, the low-energy plasmon in a few-layer phosphorene nanostructure shows an apparent long-range charge-transfer excitation but is significantly less pronounced along the zigzag-edge direction. The edge configuration significantly affects the absorption spectrum of monolayer phosphorene nanostructures. The armchair-edge and the zigzag-edge serve different functions in the absorption spectrum. Moreover, the absorption spectrum of the few-layer phosphorene nanostructure changes with the number of layers when the impulse excitation polarizes in the armchair-edge direction. In addition, the change in the low-energy resonance zone is significantly different from that in the high-energy resonance zone.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. S. Novoselov, A. K. Geim, S. Morozov, D. Jiang, M. Katsnelson, I. Grigorieva, S. V. Dubonos, and A. Firsov, Two-dimensional gas of massless Dirac fermions in graphene, Nature 438(7065), 197 (2005)

    Article  ADS  Google Scholar 

  2. Y. Zhang, Y. W. Tan, H. L. Stormer, and P. Kim, Experimental observation of the quantum Hall effect and Berry’s phase in graphene, Nature 438(7065), 201 (2005)

    Article  ADS  Google Scholar 

  3. B. Radisavljevic, A. Radenovic, J. Brivio, V. Giacometti, and A. Kis, Single-layer MoS2 transistors, Nat. Nanotechnol. 6(3), 147 (2011)

    Article  ADS  Google Scholar 

  4. H. Fang, M. Tosun, G. Seol, T. C. Chang, K. Takei, and A. Javey, Degenerate n-doping of few-layer transition metal dichalcogenides by potassium, Nano Lett. 13(5), 1991 (2013)

    Article  ADS  Google Scholar 

  5. M. Jablan, H. Buljan, and M. Soljacic, Plasmonics in graphene at infrared frequencies, Phys. Rev. B 80(24), 245435 (2009)

    Article  ADS  Google Scholar 

  6. F. H. L. Koppens, D. E. Chang, and F. J. G. de Abajo, Graphene plasmonics: A platform for strong light–matter interactions, Nano Lett. 11(8), 3370 (2011)

    Article  Google Scholar 

  7. H. A. Atwater, The promise of plasmonics, Sci. Am. 296(4), 56 (2007)

    Article  Google Scholar 

  8. E. Ozbay, Plasmonics: Merging photonics and electronics at nanoscale dimensions, Science 311(5758), 189 (2006)

    Article  ADS  Google Scholar 

  9. A. Boltasseva and H. A. Atwater, Low-loss plasmonic metamaterials, Science 331(6015), 290 (2011)

    Article  ADS  Google Scholar 

  10. L. Liao, Y. C. Lin, M. Bao, R. Cheng, J. Bai, Y. Liu, Y. Qu, K. L. Wang, Y. Huang, and X. Duan, High-speed graphene transistors with a self-aligned nanowire gate, Nature 467(7313), 305 (2010)

    Article  ADS  Google Scholar 

  11. F. Schwierz, Graphene transistors, Nat. Nanotechnol. 5(7), 487 (2010)

    Article  ADS  Google Scholar 

  12. Y. Wu, Y. Lin, A. A. Bol, K. A. Jenkins, F. Xia, D. B. Farmer, Y. Zhu, and P. Avouris, High-frequency, scaled graphene transistors on diamond-like carbon, Nature 472(7341), 74 (2011)

    Article  ADS  Google Scholar 

  13. Y. L. Chen, X. B. Feng, and D. D. Hou, Optical absorptions in monolayer and bilayer grapheme, Acta Phys. Sin. 62(18), 187301 (2013)

    Google Scholar 

  14. K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, Atomically thin MoS2: A new direct-gap semiconductor, Phys. Rev. Lett. 105(13), 136805 (2010)

    Article  ADS  Google Scholar 

  15. A. Splendiani, L. Sun, Y. B. Zhang, T. S. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, Emerging photoluminescence in monolayer MoS2, Nano Lett. 10(4), 1271 (2010)

    Article  ADS  Google Scholar 

  16. H. Liu and P. D. Ye, MoS2 dual-gate MOSFET with atomiclayer- deposited Al2O3 as top-gate dielectric, IEEE Electron Device Lett. 33(4), 546 (2012)

    Article  ADS  Google Scholar 

  17. H. Liu, A. T. Neal, and P. D. Ye, Channel length scaling of MoS2 MOSFETs, ACS Nano 6(10), 8563 (2012)

    Article  Google Scholar 

  18. Y. Yoon, K. Ganapathi, and S. Salahuddin, How good can monolayer MoS2 transistors be? Nano Lett. 11(9), 3768 (2011)

    Article  ADS  Google Scholar 

  19. B. Radisavljevic, M. B. Whitwick, and A. Kis, Integrated circuits and logic operations based on single-layer MoS2, ACS Nano 5(12), 9934 (2011)

    Article  Google Scholar 

  20. H. Wang, L. Yu, Y. H. Lee, Y. Shi, A. Hsu, M. L. Chin, L. J. Li, M. Dubey, J. Kong, and T. Palacios, Integrated circuits based on bilayer Mo2 transistors, Nano Lett. 12(9), 4674 (2012)

    Article  ADS  Google Scholar 

  21. E. S. Reich, Phosphorene excites materials scientists, Nature 506(7486), 19 (2014)

    Article  ADS  MATH  Google Scholar 

  22. Y. Xu, B. Yan, H. J. Zhang, J. Wang, G. Xu, P. Tang, W. Duan, and S. C. Zhang, Large-gap quantum spin Hall insulators in tin films, Phys. Rev. Lett. 111(13), 136804 (2013)

    Article  ADS  Google Scholar 

  23. L. Li, Y. J. Yu, G. J. Ye, Q. Q. Ge, X. D. Ou, Hua Wu, D. L. Feng, X. H. Chen, and Y. Zhang, Black phosphorus field-effect transistors, Nat. Nanotechnol. 2014, 9(5), 372

    Article  ADS  Google Scholar 

  24. H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. F. Xu, D. Tomanek, and P. D. Ye, Phosphorene: An unexplored 2D semiconductor with a high hole mobility, ACS Nano 8(4), 4033 (2014)

    Article  Google Scholar 

  25. E. S. Reich, Phosphorene excites materials scientists, Nature 506(7486), 19 (2014)

    Article  ADS  Google Scholar 

  26. J. Dai and X. C. Zeng, Bilayer phosphorene: Effect of stacking order on bandgap and its potential applications in thinfilm solar cells, J. Phys. Chem. Lett. 5(7), 1289 (2014)

    Article  Google Scholar 

  27. M. Buscema, D. J. Groenendijk, S. I. Blanter, G. A. Steele, H. S. J. van der Zant, and A. Castellanos-Gomez, Fast and broadband photoresponse of few-layer black phosphorus field-effect transistors, Nano Lett. 14(6), 3347 (2014)

    Article  ADS  Google Scholar 

  28. V. Tran and L. Yang, Scaling laws for the band gap and optical response of phosphorene nanoribbons, Phys. Rev. B 89(24), 245407 (2014)

    Article  ADS  Google Scholar 

  29. S. A. Fischer, B. F. Habenicht, A. B. Madrid, W. R. Duncan, and O. V. Prezhdo, Regarding the validity of the time-dependent Kohn–Sham approach for electron-nuclear dynamics via trajectory surface hopping, J. Chem. Phys. 134(2), 024102 (2011)

    Article  ADS  Google Scholar 

  30. M. A. L. Marques, A. Castro, G. F. Bertsch, and A. Rubio, Octopus: A first-principles tool for excited electron–ion dynamics, Comput. Phys. Commun. 151(1), 60 (2003)

    Article  ADS  Google Scholar 

  31. A. Rubio, J. A. Alonso, J. M. Lopez, and M. J. Stott, Surface plasmon excitations in C60, C60K and C60H clusters, Physica B 183(3), 247 (1993)

    Article  ADS  Google Scholar 

  32. A. G. Marinopoulos, L. Reining, V. Olevano, A. Rubio, T. Pichler, X. Liu, M. Knupfer, and J. Fink, Anisotropy and interplane interactions in the dielectric response of graphite, Phys. Rev. Lett. 89(7), 076402 (2002)

    Article  ADS  Google Scholar 

  33. A. G. Marinopoulos, L. Reining, A. Rubio, and N. Vast, Optical and loss spectra of carbon nanotubes: Depolarization effects and intertube interactions, Phys. Rev. Lett. 91(4), 046402 (2003)

    Article  ADS  Google Scholar 

  34. K. De Blauwe, D. J. Mowbray, Y. Miyata, P. Ayala, H. Shiozawa, A. Rubio, P. Hoffmann, H. Kataura, and T. Pichler, Combined experimental and ab initio study of the electronic structure of narrow-diameter single-wall carbon nanotubes with predominant (6,4),(6,5) chirality, Phys. Rev. B 82(12), 125444 (2010)

    Article  ADS  Google Scholar 

  35. K. Yabana and G. F. Bertsch, Time-dependent local-density approximation in real time, Phys. Rev. B 54(7), 4484 (1996)

    Article  ADS  Google Scholar 

  36. C. Jamorski, M. E. Casida, and D. R. Salahub, Dynamic polarizabilities and excitation spectra from a molecular implementation of time-dependent density-functional response theory: N2 as a case study, J. Chem. Phys. 104(13), 5134 (1996)

    Article  ADS  Google Scholar 

  37. J. O. Joswig, L. O. Tunturivuori, and R. M. Nieminenc, Photoabsorption in sodium clusters on the basis of time-dependent density-functional theory, J. Chem. Phys. 128(1), 014707 (2008)

    Article  ADS  Google Scholar 

  38. C. Hartwigsen, S. Goedecker, and J. Hutter, Relativistic separable dual-space Gaussian pseudopotentials from H to Rn, Phys. Rev. B 58(7), 3641 (1998)

    Article  ADS  Google Scholar 

  39. A. Rubio-Ponce, A. Conde-Gallardo, and D. Olguin, Firstprinciples study of anatase and rutile TiO2 doped with Eu ions: A comparison of GGA and LDA+U calculations, Phys. Rev. B 78(3), 0351071 (2008)

    Article  Google Scholar 

  40. A. Delin, L. Fast, B. Johansson, O. Eriksson, and J. M. Wills, Cohesive properties of the lanthanides: Effect of generalized gradient corrections and crystal structure, Phys. Rev. B 58(8), 4345 (1998)

    Article  ADS  Google Scholar 

  41. H. Yin and H. Zhang, Plasmons in graphene nanostructures, J. Appl. Phys. 111(10), 103502 (2012)

    Article  ADS  Google Scholar 

  42. J. Guan, Z. Zhu, and D. Tománek, Phase coexistence and metal-insulator transition in few-layer phosphorene: A computational study, Phys. Rev. Lett. 113, 046804 (2014)

    Article  ADS  Google Scholar 

  43. L. Yang, C. D. Spataru, S. G. Louie, and M. Y. Chou, Enhanced electron-hole interaction and optical absorption in a silicon nanowire, Phys. Rev. B 75(20), 201304 (2007) (R)

    Article  ADS  Google Scholar 

  44. M. Reischle, G. J. Beirne, R. Roßbach, M. Jetter, and P. Michler, Influence of the dark exciton state on the optical and quantum optical properties of single quantum dots, Phys. Rev. Lett. 101(14), 146402 (2008)

    Article  ADS  Google Scholar 

  45. V. Tran, R. Soklaski, Y. Liang, and L. Yang, Tunable band gap and anisotropic optical response in few-layer black phosphorus, arXiv: 1402.4192, 2014

    Google Scholar 

  46. J. Qiao, X. Kong, Z. X. Hu, F. Yang, and W. Ji, Highmobility transport anisotropy and linear dichroism in fewlayer black phosphorus, Nat. Commun. 5, 4475 (2014)

    ADS  Google Scholar 

  47. N. Zeng, X.-Y. Jiang, Q. Gao, Y. He, and H. Ma, Linear polarization difference imaging and its potential applications, Appl. Opt. 48(35), 6734 (2009)

    Article  ADS  Google Scholar 

  48. E. Knill, R. Laflamme, and G. J. Milburn, A scheme for efficient quantum computation with linear optics, Nature 409(6816), 46 (2001)

    Article  ADS  Google Scholar 

  49. N. P. Dasgupta and P. Yang, Semiconductor nanowires for photovoltaic and photoelectrochemical energy conversion, Front. Phys. 9(3), 289 (2014)

    Article  Google Scholar 

  50. Y. L. Zhao, Y. L. Song, W. G. Song, W. Liang, X. Y. Jiang, Z. Y. Tang, H. X. Xu, Z. X. Wei, Y. Q. Liu, M. H. Liu, L. Jiang, X. H. Bao, L. J. Wan, and C. L. Bai, Progress of nanoscience in China, Front. Phys. 9(3), 257 (2014)

    Article  Google Scholar 

  51. N. Liu, W. Li, M. Pasta, and Y. Cui, Nanomaterials for electrochemical energy storage, Front. Phys. 9(3), 323 (2014)

    Article  Google Scholar 

  52. W.-J. Li, D.-X. Yao, and E. W. Carlson, Tunable nano Peltier cooling device from geometric effects using a single graphene nanoribbon, Front. Phys. 9(4), 472 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hong Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, JH., Zhang, H. & Cheng, XL. First-principle study on the optical response of phosphorene. Front. Phys. 10, 1–9 (2015). https://doi.org/10.1007/s11467-015-0468-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11467-015-0468-y

Keywords

Navigation