Theory of unconventional quantum Hall effect in strained graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 12, 2013, Pages

  Roy, Bitan ^a   Hu, Zi Xiang ^b,c   Yang, Kun ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

^b CHONGQING UNIVERSITY   (China)

^c Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875731509     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.121408     Document Type: Article

References (39)

1. K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.494 45, 494 (1980).
2. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559 48, 1559 (1982).
3. Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer-Verlag, New York, 1989).
4. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
5. B. I. Halperin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.25.2185 25, 2185 (1982).
6. R. B. Laughlin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.23.5632 23, 5632 (1981).
7. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, and M. I. Katsnelson, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005); (Pubitemid 41599867)
8. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature (London) NATUAS 0028-0836 10.1038/nature04235 438, 201 (2005). (Pubitemid 41599868)
9. Y. Zhang, Z. Jiang, J. P. Small, M. S. Purewal, Y.-W. Tan, M. Fazlollahi, J. D. Chudow, J. A. Jaszczak, H. L. Stormer, and P. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136806 96, 136806 (2006).
10. For a recent review, see, e.g., Y. Barlas, Kun Yang, and A. H. MacDonald, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/23/5/052001 23, 052001 (2012).
11. N. Levy, S. A. Burke, K. L. Meaker, M. Panlasigui, A. Zettl, F. Guinea, A. H. Castro Neto, and M. F. Crommie, Science SCIEAS 0036-8075 10.1126/science.1191700 329, 544 (2010).
12. G. W. Semenoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53. 2449 53, 2449 (1984).
13. B. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.035458 84, 035458 (2011);
14. B. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.165453 85, 165453 (2012).
15. I. F. Herbut, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.205433 78, 205433 (2008).
16. See also B. Roy, Ph.D. thesis, Simon Fraser University, 2011, http://theses.lib.sfu.ca/thesis/etd6841.
17. P. Ghaemi, J. Cayssol, D. N. Sheng, and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.266801 108, 266801 (2012).
18. D. A. Abanin and D. A. Pesin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.066802 109, 066802 (2012).
19. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.51.13449 51, 13449 (1995).
20. I. F. Herbut, V. Juričić, and B. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.085116 79, 085116 (2009).
21. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevB.87.121408 for more details.
22. Y. Chang, T. Albash, and S. Haas, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.125402 86, 125402 (2012).
23. Y. Aharonov and A. Casher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.19.2461 19, 2461 (1979).
24. B. Roy and I. F. Herbut, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.195422 83, 195422 (2011).
25. P. Středa, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/15/22/005 15, L717 (1982).
26. T. Low and F. Guinea, Nano Lett. NALEFD 1530-6984 10.1021/nl1018063 10, 3551 (2010).
27. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
28. B. Roy and I. F. Herbut, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.035429 82, 035429 (2010).
29. T. O. Wehling, E. ŞaşIoǧlu, C. Friedrich, A. I. Lichtenstein, M. I. Katsnelson, and S. Blügel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236805 106, 236805 (2011).
30. S. Raghu, X.-L. Qi, C. Honerkamp, and S.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.156401 100, 156401 (2008). (Pubitemid 351549477)
31. I. F. Herbut and B. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.245438 77, 245438 (2008).
32. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3499 73, 3499 (1994);
33. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.52.4718 52, 4718 (1995).
34. I. F. Herbut, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.165411 75, 165411 (2007);
35. J. Jung and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.235417 80, 235417 (2009).
36. F. de Juan, A. Cortijo, M. A. H. Vozmediano, and A. Cano, Nat. Phys. 1745-2473 10.1038/nphys2034 7, 810 (2011);
37. Y. Aharonov and D. Bohm, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.115. 485 115, 485 (1959).
38. K. K. Gomes, W. Mar, W. Ko, F. Guinea, and H. Manoharan, Nature (London) NATUAS 0028-0836 10.1038/nature10941 483, 306 (2012).
39. J. Lu, A. H. Castro Neto, and K. P. Loh, Nat. Commun. 2041-1723 10.1038/ncomms1818 3, 823 (2012).