Multiple quantum phases in graphene with enhanced spin-orbit coupling: From the quantum spin hall regime to the spin hall effect and a robust metallic state

Physical Review Letters

Volumn 113, Issue 24, 2014, Pages

  Cresti, Alessandro ^a,b   Van Tuan, Dinh ^c   Soriano, David ^c   Cummings, Aron W ^c   Roche, Stephan ^c,d  

^a UNIV GRENOBLE ALPES   (France)

^b IMEP LAHC   (France)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^d INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ADATOMS; CRYSTAL SYMMETRY; GRAPHENE; QUANTUM HALL EFFECT; QUANTUM THEORY; SURFACE SEGREGATION; THALLIUM;

BULK CONDUCTIVITIES; FUNCTIONALIZED GRAPHENE; LOCALIZATION EFFECT; QUANTUM SPIN HALL PHASE; QUANTUM SPIN HALLS; SPIN DEPENDENT SCATTERING; SPIN-ACCUMULATIONS; SPIN-ORBIT COUPLINGS;

SPIN HALL EFFECT;

EID: 84918572043     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.246603     Document Type: Article

References (47)

1. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801
2. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802
3. Y. Yao, F. Ye, X.-L. Qi, S.-C. Zhang, and Z. Fang, Phys. Rev. B 75, 041401 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.041401
4. B.A. Bernevig and S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
5. B.A. Bernevig, T.L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734
6. M.Z. Hasan and C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
7. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
8. C. Weeks, J. Hu, J. Alicea, M. Franz, and R. Wu, Phys. Rev. X 1, 021001 (2011). PRXHAE 2160-3308 10.1103/PhysRevX.1.021001
9. H. Jiang, Z. Qiao, H. Liu, J. Shi, and Q. Niu, Phys. Rev. Lett. 109, 116803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.116803
10. G. Autès and O.V. Yazyev, Phys. Rev. B 87, 241404 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.241404
11. K.-H. Jin and S.-H. Jhi, Phys. Rev. B 87, 075442 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.075442
12. W. Liu, X. Peng, X. Wei, H. Yang, G.M. Stocks, and J. Zhong, Phys. Rev. B 87, 205315 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.205315
13. L. Kou, B. Yan, F. Hu, S.-C. Wu, T.O. Wehling, C. Felser, C. Chen, and T. Frauenheim, Nano Lett. 13, 6251 (2013). NALEFD 1530-6984 10.1021/nl4037214
14. J. Hu, J. Alicea, R. Wu, and M. Franz, Phys. Rev. Lett. 109, 266801 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.266801
15. Y. Li, P. Tang, P. Chen, J. Wu, B.-L. Gu, Y. Fang, S.B. Zhang, and W. Duan, Phys. Rev. B 87, 245127 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.245127
16. Z. Qiao, S.A. Yang, W. Feng, W.-K. Tse, J. Ding, Y. Yao, J. Wang, and Q. Niu, Phys. Rev. B 82, 161414 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.161414
17. Z. Qiao, W.-K. Tse, H. Jiang, Y. Yao, and Q. Niu, Phys. Rev. Lett. 107, 256801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.256801
18. Z. Jia, B. Yan, J. Niu, Q. Han, R. Zhu, X. Wu, and D. Yu, arXiv:1409.8090.
19. J. Coraux, L. Marty, N. Bendiab, and V. Bouchiat, Acc. Chem. Res. 46, 2193 (2013). ACHRE4 0001-4842 10.1021/ar3001519
20. E. Sutter, P. Albrecht, B. Wang, M.-L. Bocquet, L. Wu, Y. Zhu, and P. Sutter, Surf. Sci. 605, 1676 (2011). SUSCAS 0039-6028 10.1016/j.susc.2011.01.026
21. K. Pi, K.M. McCreary, W. Bao, W. Han, Y.F. Chiang, Y. Li, S.-W. Tsai, C.N. Lau, and R.K. Kawakami, Phys. Rev. B 80, 075406 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.075406
22. J.E. Santos, N.M.R. Peres, J.M.B. Lopes dos Santos, and A.H. Castro Neto, Phys. Rev. B 84, 085430 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.085430
23. K.M. McCreary, K. Pi, A.G. Swartz, W. Han, W. Bao, C.N. Lau, F. Guinea, M.I. Katsnelson, and R.K. Kawakami, Phys. Rev. B 81, 115453 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.115453
24. M. Alemani, A. Barfuss, B. Geng, C. Girit, P. Reisenauer, M.F. Crommie, F. Wang, A. Zettl, and F. Hellman, Phys. Rev. B 86, 075433 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.075433
25. T. Eelbo, M. Was̈niowska, P. Thakur, M. Gyamfi, B. Sachs, T.O. Wehling, S. Forti, U. Starke, C. Tieg, A.I. Lichtenstein, and R. Wiesendanger, Phys. Rev. Lett. 110, 136804 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.136804
26. M.I. Katsnelson, F. Guinea, and A.K. Geim, Phys. Rev. B 79, 195426 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.195426
27. S. Yuan, R. Roldán, H. De Raedt, and M.I. Katsnelson, Phys. Rev. B 84, 195418 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.195418
28. S. Yuan, R. Roldán, M.I. Katsnelson, and F. Guinea, Phys. Rev. B 90, 041402 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.041402
29. G. Vignale, J. Supercond. Novel Magn. 23, 3 (2010). JSNMBN 1557-1939 10.1007/s10948-009-0547-9
30. S. Maekawa, S.O. Valenzuela, E. Saitoh, and T. Kimura, Spin Current (Oxford University Press, Oxford, 2011).
31. J. Balakrishnan, G.K.W. Koon, A. Avsar, Y. Ho, J.H. Lee, M. Jaiswal, S.-J. Baeck, J.-H. Ahn, A. Ferreira, M.A. Cazalilla, A.H. Castro Neto, and B. Özyilmaz, Nat. Commun. 5, 4748 (2014). NCAOBW 2041-1723 10.1038/ncomms5748
32. A. Ferreira, T.G. Rappoport, M.A. Cazalilla, and A.H. Castro Neto, Phys. Rev. Lett. 112, 066601 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.066601
33. F. Ortmann, A. Cresti, G. Montambaux, and S. Roche, Europhys. Lett. 94, 47006 (2011). EULEEJ 0295-5075 10.1209/0295-5075/94/47006
34. A. Cresti, G. Grosso, and G. Pastori Parravicini, Eur. Phys. J. B 53, 537 (2006). EPJBFY 1434-6028 10.1140/epjb/e2006-00408-2
35. L.E.F. Foa Torres, S. Roche, and J.C. Charlier, Introduction to Graphene-Based Nanomaterials: From Electronic Structure to Quantum Transport (Cambridge University Press, Cambridge, England, 2014).
36. S. Roche, N. Leconte, F. Ortmann, A. Lherbier, D. Soriano, and J.-C. Charlier, Solid State Commun. 152, 1404 (2012). SSCOA4 0038-1098 10.1016/j.ssc.2012.04.030
37. S. Yuan, H. De Raedt, and M.I. Katsnelson, Phys. Rev. B 82, 115448 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.115448
38. O. Shevtsov, P. Carmier, C. Groth, X. Waintal, and D. Carpentier, Phys. Rev. B 85, 245441 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.245441
39. E. Prada and G. Metalidis, J. Comput. Electron. 12, 63 (2013). 10.1007/s10825-012-0427-6
40. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.113.246603 for a comment on the SOC model, additional simulations and an illustrated explanation of the physical mechanism.
41. S. Das Sarma, S. Adam, E.H. Hwang, and E. Rossi, Rev. Mod. Phys. 83, 407 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.407
42. E. McCann, K. Kechedzhi, V.I. Fal'ko, H. Suzuura, T. Ando, and B.L. Altshuler, Phys. Rev. Lett. 97, 146805 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.146805
43. E. McCann and V.I. Fal'ko, Phys. Rev. Lett. 108, 166606 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.166606
44. A. Rycerz, J. Tworzydło, and C.W.J. Beenakker, Europhys. Lett. 79, 57003 (2007). EULEEJ 0295-5075 10.1209/0295-5075/79/57003
45. Y.-Y. Zhang, J. Hu, B.A. Bernevig, X.R. Wang, X.C. Xie, and W.M. Liu, Phys. Rev. Lett. 102, 106401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.106401
46. P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, Phys. Rev. Lett. 98, 256801 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.256801
47. R.V. Gorbachev, J.C.W. Song, G.L. Yu, A.V. Kretinin, F. Withers, Y. Cao, A. Mishchenko, I.V. Grigorieva, K.S. Novoselov, L.S. Levitov, and A.K. Geim, Science 346, 448 (2014). SCIEAS 0036-8075 10.1126/science.1254966