Skip to main content
Log in

Decay and the double-decay properties of edge bands of phosphorene ribbons

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

Phosphorene (a monolayer of black phosphorus) recently spurred much attention due to its potential for application. We notice there are two types of zigzag edge and two types of armchair edge for phosphorene lattice. We study the winding number of various types of edge of phosphorene ribbons and conclude that, besides on the typical zigzag edge, the flat zero-energy edge band can be found in the ribbon of another nontypical armchair edge. The localization of these edge bands is investigated analytically. We find every single edge state of the atypical armchair edge decays to the bulk at two different decay rates.

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. F. Xia, H. Wang, and Y. Jia, Nature Commun. 5, 4458 (2014).

    ADS  Google Scholar 

  2. L. Li, Y. Yu, G. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. Chen, and Y. Zhang, Nature Nanotech. 9, 372 (2014).

    Article  ADS  Google Scholar 

  3. J. D. Wood, S. A. Wells, D. Jariwala, K.-S. Chen, E. Cho, V. K. Sangwan, X. Liu, L. J. Lauhon, T. J. Marks, and M. C. Hersam, Nano Lett. 14, 6964 (2014).

    Article  ADS  Google Scholar 

  4. G. Wang, R. Pandey, and S. P. Karna, Nanoscale 7, 524 (2014).

    Article  ADS  Google Scholar 

  5. T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, Phys. Rev. Lett. 113, 106802 (2014).

    Article  ADS  Google Scholar 

  6. A. S. Rodin, A. Carvalho, and A. H. Castro Neto, Phys. Rev. B 90, 075429 (2014).

    Article  ADS  Google Scholar 

  7. V. Tran, R. Soklaski, Y. Liang, and L. Yang, Phys. Rev. B 89, 235319 (2014).

    Article  ADS  Google Scholar 

  8. A. N. Rudenko and M. I. Katsnelson, Phys. Rev. B 89, 201408(R) (2014).

  9. J. Guan, Z. Zhu, and D. Tománek, Phys. Rev. Lett. 113, 226801 (2014).

    Article  ADS  Google Scholar 

  10. Q. Wei and X. Peng, Appl. Phys. Lett. 104, 251915 (2014).

    Article  ADS  Google Scholar 

  11. H. Guo, N. Lu, J. Dai, X. Wu, and X. C. Zeng, J. Phys. Chem. C 118, 14051 (2014).

    Article  Google Scholar 

  12. A. S. Rodin, A. Carvalho, and A. H. Castro Neto, Phys. Rev. Lett. 112, 176801 (2014).

    Article  ADS  Google Scholar 

  13. D. Çakır, H. Sahin, and F. M. Peeters, Phys. Rev. B 90, 205421 (2014).

    Article  ADS  Google Scholar 

  14. J. Zhang, H. J. Liu, L. Cheng, J. Wei, J. H. Liang, D. D. Fan, J. Shi, X. F. Tang, and Q. J. Zhang, Sci. Rep. 4, 6452 (2014).

    Article  ADS  Google Scholar 

  15. Z. Zhu, C. Li, W. Yu, D. Chang, Q. Sun, and Y. Jia, Appl. Phys. Lett. 105, 113105 (2014).

    Article  ADS  Google Scholar 

  16. M. Ezawa, New J. Phys. 16, 115004 (2014).

    Article  ADS  Google Scholar 

  17. A. Carvalho, A. S. Rodin, and A. H. C. Neto, Europhys. Lett. 108, 47005 (2014).

    Article  ADS  Google Scholar 

  18. A. Maity, A. Singh, and P. Sen, arXiv:1404.2469.

  19. X. Peng, A. Copple, and Q. Wei, J. Appl. Phys. 116, 144301 (2014).

    Article  ADS  Google Scholar 

  20. M. Yang, H.-J. Duan, and R.-Q. Wang, JETP Lett. 102, 322 (2015).

    Article  Google Scholar 

  21. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).

    Article  ADS  Google Scholar 

  22. A. Kara, H. Enriquez, A. P. Seitsonen, L. C. L. Y. Voon, S. Vizzini, B. Aufray, and H. Oughaddou, Surf. Sci. Rep. 67, 1 (2012).

    Article  ADS  Google Scholar 

  23. K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, Phys. Rev. Lett. 105, 136805 (2010).

    Article  ADS  Google Scholar 

  24. M. Bellec, U. Kuhl, G. Montambaux, and F. Mortessagne, New J. Phys. 16, 113023 (2014).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Yang.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, M., Duan, HJ. & Wang, RQ. Decay and the double-decay properties of edge bands of phosphorene ribbons. Jetp Lett. 102, 610–615 (2015). https://doi.org/10.1134/S0021364015210134

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364015210134

Keywords

Navigation