Quantum Spin-Quantum Anomalous Hall Insulators and Topological Transitions in Functionalized Sb(111) Monolayers

Nano Letters

Volumn 15, Issue 8, 2015, Pages 5149-5155

  Zhou, Tong ^a   Zhang, Jiayong ^a   Zhao, Bao ^a   Zhang, Huisheng ^a   Yang, Zhongqin ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

2D material; Quantum spin quantum anomalous Hall effect; spintronics; topological phase transition; valleytronics

Indexed keywords

ATOMS; ENERGY GAP; MAGNETOELECTRONICS; MONOLAYERS; QUANTUM THEORY; SPIN HALL EFFECT; TOPOLOGY;

ANOMALOUS HALL EFFECTS; SPINTRONIC APPLICATIONS; TIME REVERSAL SYMMETRIES; TOPOLOGICAL INSULATORS; TOPOLOGICAL PHASE; TOPOLOGICAL TRANSITIONS; TWO DIMENSIONAL (2 D); VALLEYTRONICS;

QUANTUM HALL EFFECT;

EID: 84939190719     PISSN: 15306984     EISSN: 15306992     Source Type: Journal    
DOI: 10.1021/acs.nanolett.5b01373     Document Type: Article

References (54)

1. Gorbachev, R. V.; Tikhonenko, F. V.; Mayorov, A. S.; Horsell, D. W.; Savchenko, A. K. Phys. Rev. Lett. 2007, 98, 176805 10.1103/PhysRevLett.98.176805
2. Behnia, K. Nat. Nanotechnol. 2012, 7, 488-489 10.1038/nnano.2012.117
3. Rycerz, A.; Tworzydlo, J.; Beenakker, C. W. J. Nat. Phys. 2007, 3, 172-175 10.1038/nphys547
4. Xiao, D.; Yao, W.; Niu, Q. Phys. Rev. Lett. 2007, 99, 236809 10.1103/PhysRevLett.99.236809
5. Yao, W.; Xiao, D.; Niu, Q. Phys. Rev. B: Condens. Matter Mater. Phys. 2008, 77, 235406 10.1103/PhysRevB.77.235406
6. Jiang, Y.; Low, T.; Chang, K.; Katsnelson, M. I.; Guinea, F. Phys. Rev. Lett. 2013, 110, 046601 10.1103/PhysRevLett.110.046601
7. Fujita, T.; Jalil, M. B. A.; Tan, S. G. Appl. Phys. Lett. 2010, 97, 043508 10.1063/1.3473725
8. Feng, W. X.; Yao, Y. G.; Zhu, W. G.; Zhou, J. J.; Yao, W.; Xiao, D. Phys. Rev. B: Condens. Matter Mater. Phys. 2012, 86, 165108 10.1103/PhysRevB.86.165108
9. Xiao, D.; Liu, G. B.; Feng, W.; Xu, X.; Yao, W. Phys. Rev. Lett. 2012, 108, 196802 10.1103/PhysRevLett.108.196802
10. Zeng, H.; Dai, J.; Yao, W.; Xiao, D.; Cui, X. Nat. Nanotechnol. 2012, 7, 490-493 10.1038/nnano.2012.95
11. Mak, K. F.; McGill, K. L.; Park, J.; McEuen, P. L. Science 2014, 344, 1489-1492 10.1126/science.1250140
12. Xu, X.; Yao, W.; Xiao, D.; Heinz, T. F. Nat. Phys. 2014, 10, 343-350 10.1038/nphys2942
13. Song, Z.; Liu, C.-C.; Yang, J.; Han, J.; Ye, M.; Fu, B.; Yang, Y.; Niu, Q.; Lu, J.; Yao, Y. NPG Asia Mater. 2014, 6, e147 10.1038/am.2014.113
14. Liu, Z.; Liu, C.-X.; Wu, Y.-S.; Duan, W.-H.; Liu, F.; Wu, J. Phys. Rev. Lett. 2011, 107, 136805 10.1103/PhysRevLett.107.136805
15. Niu, C. W.; Bihlmayer, G.; Zhang, H. B.; Wortmann, D.; Bloügel, S.; Mokrousov, Y. Phys. Rev. B: Condens. Matter Mater. Phys. 2015, 91, 041303(R) 10.1103/PhysRevB.91.041303
16. Bian, G.; Wang, X.; Liu, Y.; Miller, T.; Chiang, T.-C. Phys. Rev. Lett. 2012, 108, 176401 10.1103/PhysRevLett.108.176401
17. Zhang, P.; Liu, Z.; Duan, W.; Liu, F.; Wu, J. Phys. Rev. B: Condens. Matter Mater. Phys. 2012, 85, 201410(R) 10.1103/PhysRevB.85.201410
18. König, M.; Wiedmann, S.; Broüne, C.; Roth, A.; Buhmann, H.; Molenkamp, L. W.; Qi, X. L.; Zhang, S.-C. Science 2007, 318, 766-770 10.1126/science.1148047
19. Kane, C. L.; Mele, E. J. Phys. Rev. Lett. 2005, 95, 226801 10.1103/PhysRevLett.95.226801
20. Kane, C. L.; Mele, E. J. Phys. Rev. Lett. 2005, 95, 146802 10.1103/PhysRevLett.95.146802
21. Chang, C. Z.; Zhang, J.; Feng, X.; Shen, J.; Zhang, Z. C.; Guo, M. H.; Li, K.; Ou, Y. B.; Wei, P.; Wang, L. L.; Ji, Z. Q.; Feng, Y.; Ji, S.; Chen, X.; Jia, J. F.; Dai, X.; Fang, Z.; Zhang, S. C.; He, K.; Wang, Y. Y.; Lu, L.; Ma, X. C.; Xue, Q. K. Science 2013, 340, 167-170 10.1126/science.1234414
22. Qi, X. L.; Zhang, S. C. Rev. Mod. Phys. 2011, 83, 1057-1110 10.1103/RevModPhys.83.1057
23. Kaloni, T. P.; Singh, N.; Schwingenschlogl, U. Phys. Rev. B: Condens. Matter Mater. Phys. 2014, 89, 035409 10.1103/PhysRevB.89.035409
24. Kaloni, T. P. J. Phys. Chem. C 2014, 118, 25200-25208 10.1021/jp5058644
25. Ezawa, M. Phys. Rev. B: Condens. Matter Mater. Phys. 2013, 87, 155415 10.1103/PhysRevB.87.155415
26. Kittel, C. Introduction to Solid State Physics, 5 th ed.; Wiley: New York, 1976.
27. Liu, X.; Hsu, H.-C.; Liu, C.-X. Phys. Rev. Lett. 2013, 111, 086802 10.1103/PhysRevLett.111.086802
28. Zhang, J. Y.; Zhao, B.; Yang, Z. Q. Phys. Rev. B: Condens. Matter Mater. Phys. 2013, 88, 165422 10.1103/PhysRevB.88.165422
29. Ezawa, M. Phys. Rev. Lett. 2012, 109, 055502 10.1103/PhysRevLett.109.055502
30. Garrity, K. F.; Vanderbilt, D. Phys. Rev. B: Condens. Matter Mater. Phys. 2014, 90, 121103(R) 10.1103/PhysRevB.90.121103
31. Liu, W.; Peng, X.; Tang, C.; Sun, L.; Zhang, K.; Zhong, J. Phys. Rev. B: Condens. Matter Mater. Phys. 2011, 84, 245105 10.1103/PhysRevB.84.245105
32. Ma, D.; Li, Z.; Yang, Z. Carbon 2012, 50, 297-305 10.1016/j.carbon.2011.08.055
33. Liu, C. C.; Feng, W. X.; Yao, Y. G. Phys. Rev. Lett. 2011, 107, 076802 10.1103/PhysRevLett.107.076802
34. Kaloni, T. P.; Kou, L.; Frauenheim, T.; Schwingenschlögl, U. Appl. Phys. Lett. 2014, 105, 233112 10.1063/1.4903895
35. Tang, W.; Sanville, E.; Henkelman, G. J. J. Phys.: Condens. Matter 2009, 21, 084204 10.1088/0953-8984/21/8/084204
36. Qiao, Z.; Ren, W.; Chen, H.; Bellaiche, L.; Zhang, Z.; MacDonald, A. H.; Niu, Q. Phys. Rev. Lett. 2014, 112, 116404 10.1103/PhysRevLett.112.116404
37. Liu, C.-C.; Guan, S.; Song, Z.; Yang, S. A.; Yang, J.; Yao, Y. Phys. Rev. B: Condens. Matter Mater. Phys. 2014, 90, 085431 10.1103/PhysRevB.90.085431
38. Yang, Y.; Xu, Z.; Sheng, L.; Wang, B.; Xing, D. Y.; Sheng, D. N. Phys. Rev. Lett. 2011, 107, 066602 10.1103/PhysRevLett.107.066602
39. Pan, H.; Li, Z.; Liu, C.-C.; Zhu, G.; Qiao, Z.; Yao, Y. Phys. Rev. Lett. 2014, 112, 106802 10.1103/PhysRevLett.112.106802
40. Ezawa, M. New J. Phys. 2012, 14, 033003 10.1088/1367-2630/14/3/033003
41. Kaloni, T. P.; Tahir, M.; Schwingenschlögl, U. Sci. Rep. 2013, 3, 3192 10.1038/srep03192
42. Yao, Y. G.; Kleinman, L.; MacDonald, A. H.; Sinova, J.; Jungwirth, T.; Wang, D.-S.; Wang, E.; Niu, Q. Phys. Rev. Lett. 2004, 92, 037204 10.1103/PhysRevLett.92.037204
43. Yao, Y. G.; Fang, Z. Phys. Rev. Lett. 2005, 95, 156601 10.1103/PhysRevLett.95.156601
44. Zhang, H.; Freimuth, F.; Bihlmayer, G.; Blügel, S.; Mokrousov, Y. Phys. Rev. B: Condens. Matter Mater. Phys. 2012, 86, 035104 10.1103/PhysRevB.86.035104
45. Mostofi, A. A.; Yates, J. R.; Lee, Y.-S.; Souza, I.; Vanderbilt, D.; Marzari, N. Comput. Phys. Commun. 2008, 178, 685-699 10.1016/j.cpc.2007.11.016
46. Marzari, N.; Mostofi, A. A.; Yates, J. R.; Souza, I.; Vanderbilt, D. Rev. Mod. Phys. 2012, 84, 1419-1475 10.1103/RevModPhys.84.1419
47. Murakami, S.; Iso, S.; Avishai, Y.; Onoda, M.; Nagaosa, N. Phys. Rev. B: Condens. Matter Mater. Phys. 2007, 76, 205304 10.1103/PhysRevB.76.205304
48. Elias, D. C.; Nair, R. R.; Mohiuddin, T. M. G.; Morozov, S. V.; Blake, P.; Halsall, M. P.; Ferrari, A. C.; Katsnelson, D. W.; Geim, A. K.; Novoselov, K. S. Science 2009, 323, 610-613 10.1126/science.1167130
49. Schofield, S. R.; Studer, P.; Hirjibehedin, C. F.; Curson, N. J.; Aeppli, G.; Bowler, D. R. Nat. Commun. 2013, 4, 1649 10.1038/ncomms2679
50. Robinson, J. T.; Burgess, J. S.; Junkermeier, C. E.; Badescu, S. C.; Reinecke, T. L.; Perkins, F. K.; Zalalutdniov, M. K.; Baldwin, J. W.; Culbertson, J. C.; Sheehan, P. E.; Snow, E. S. Nano Lett. 2010, 10, 3001-3005 10.1021/nl101437p
51. Balog, R.; Jørgensen, B.; Nilsson, L.; Andersen, M.; Rienks, E.; Bianchi, M.; Fanetti, M.; Lægsgaard, E.; Baraldi, A.; Lizzit Nat. Mater. 2010, 9, 315-319 10.1038/nmat2710
52. Kresse, G.; Joubert, D. Phys. Rev. B: Condens. Matter Mater. Phys. 1999, 59, 1758-1775 10.1103/PhysRevB.59.1758
53. Kresse, G.; Furthmuller, J. Phys. Rev. B: Condens. Matter Mater. Phys. 1996, 54, 11169-11186 10.1103/PhysRevB.54.11169
54. Perdew, J. P.; Burke, K.; Ernzerhof, M. Phys. Rev. Lett. 1996, 77, 3865-3868 10.1103/PhysRevLett.77.3865