Special Issue on Advanced Spintronics in Novel Materials and its Applications; Guest Editor: Mansoor Bin Abdul Jalil (National University of Singapore)No Access

Signature of Topological Phases in Zitterbewegung

S. Ghosh

King Abdullah University of Science and Technology (KAUST), Physical Science and Engineering Division (PSE), Thuwal 23955, Saudi Arabia

E-mail Address: sumit.ghosh@kaust.edu.sa

Search for more papers by this author

and

A. Manchon

King Abdullah University of Science and Technology (KAUST), Physical Science and Engineering Division (PSE), Thuwal 23955, Saudi Arabia

E-mail Address: aurelien.manchon@kaust.edu.sa

Search for more papers by this author

https://doi.org/10.1142/S201032471640004XCited by:1 (Source: Crossref)

Abstract

We have studied the Zitterbewegung effect on an infinite two-dimensional sheet with honeycomb lattice. By tuning the perpendicular electric field and the magnetization of the sheet, it can enter different topological phases. We have shown that the phase and magnitude of Zitterbewegung effect, i.e., the jittering motion of electron wavepackets, correlates with the various topological phases. The topological phase diagram can be reconstructed by analyzing these features. Our findings are applicable to materials like silicene, germanene, stanene, etc.

Keywords:

References

1. G. W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984). Crossref, Google Scholar
2. A. K. Geim and K. S. Novoselov, Nat. Mater. 6, 183 (2007). Crossref, Google Scholar
3. A. F. Young and P. Kim, Nat. Phys. 5, 222 (2009). Crossref, Google Scholar
4. I. Romanovsky, C. Yannouleas and U. Landman, Phys. Rev. B 87, 165431 (2013). Crossref, Google Scholar
5. M. Ezawa, Phys. Rev. Lett. 109, 055502 (2012). Crossref, Google Scholar
6. W. Han, R. K. Kawakami, M. Gmitra and J. Fabian, Nat. Nanotechnol. 9, 794 (2014). Crossref, Google Scholar
7. D. Pesin and A. H. MacDonald, Nat. Mater. 11, 409 (2012). Crossref, Google Scholar
8. J. A. Lock, Am. J. Phys. 47, 797 (1979). Crossref, Google Scholar
9. J. Schliemann, D. Loss and R. Westervelt, Phys. Rev. Lett. 94, 206801 (2005). Crossref, Google Scholar
10. W. Zawadzki, Phys. Rev. B 72, 085217 (2005). Crossref, Google Scholar
11. J. Cserti and G. Dávid, Phys. Rev. B 74, 172305 (2006). Crossref, Google Scholar
12. W. Zawadzki and T. M. Rusin, J. Phys. Condens. Matter 23, 143201 (2011). Crossref, Google Scholar
13. X. Zhang, Phys. Rev. Lett. 100, 113903 (2008). Crossref, Google Scholar
14. J. Vaishnav and C. Clark, Phys. Rev. Lett. 100, 153002 (2008). Crossref, Google Scholar
15. R. Gerritsma, G. Kirchmair, F. Zähringer, E. Solano, R. Blatt and C. F. Roos, Nature 463, 68 (2010). Crossref, Google Scholar
16. L. J. LeBlanc, M. C. Beeler, K. Jiménez-García, A. R. Perry, S. Sugawa, R. A. Williams and I. B. Spielman, New J. Phys. 15, 073011 (2013). Crossref, Google Scholar
17. C. Qu, C. Hamner, M. Gong, C. Zhang and P. Engels, Phys. Rev. A 88, 021604 (2013). Crossref, Google Scholar
18. M. I. Katsnelson, Eur. Phys. J. B 51, 157 (2006). Crossref, Google Scholar
19. T. Rusin and W. Zawadzki, Phys. Rev. B 76, 195439 (2007). Crossref, Google Scholar
20. D. Yudin, O. Eriksson and M. I. Katsnelson, Phys. Rev. B 91, 075419 (2015). Crossref, Google Scholar
21. E. Romera, J. Roldán and F. de los Santos, Phys. Lett. A 378, 2582 (2014). Crossref, Google Scholar
22. A. Barut and A. Bracken, Phys. Rev. D 23, 2454 (1981). Crossref, Google Scholar
23. L.-K. Shi, S.-C. Zhang and K. Chang, Phys. Rev. B 87, 161115 (2013). Crossref, Google Scholar
24. S. Ghosh, U. Schwingenschlögl and A. Manchon, Phys. Rev. B 91, 045409 (2015). Crossref, Google Scholar
25. G. Dávid and J. Cserti, Phys. Rev. B 81, 121417 (2010). Crossref, Google Scholar
26. J. Cserti and G. Dávid, Phys. Rev. B 82, 201405 (2010). Crossref, Google Scholar
27. C.-C. Liu, H. Jiang and Y. Yao, Phys. Rev. B 84, 195430 (2011). Crossref, Google Scholar
28. M. Ezawa, J. Phys. Soc. Japan 84, 121003 (2015). Crossref, Google Scholar
29. D. Sun, Z.-K. Wu, C. Divin, X. Li, C. Berger, W. A. de Heer, P. N. First and T. B. Norris, Phys. Rev. Lett. 101, 157402 (2008). Crossref, Google Scholar
30. S. Winnerl, M. Orlita, P. Plochocka, P. Kossacki, M. Potemski, T. Winzer, E. Malic, A. Knorr, M. Sprinkle, C. Berger, W. A. de Heer, H. Schneider and M. Helm, Phys. Rev. Lett. 107, 237401 (2011). Crossref, Google Scholar
31. S. Ulstrup, J. C. Johannsen, F. Cilento, J. A. Miwa, A. Crepaldi, M. Zacchigna, C. Cacho, R. Chapman, E. Springate, S. Mammadov, F. Fromm, C. Raidel, T. Seyller, F. Parmigiani, M. Grioni, P. D. C. King and P. Hofmann, Phys. Rev. Lett. 112, 257401 (2014). Crossref, Google Scholar
32. I. Gierz, M. Mitrano, H. Bromberger, C. Cacho, R. Chapman, E. Springate, S. Link, U. Starke, B. Sachs, M. Eckstein, T. O. Wehling, M. I. Katsnelson, A. Lichtenstein and A. Cavalleri, Phys. Rev. Lett. 114, 125503 (2015). Crossref, Google Scholar