Topological qubits in graphenelike systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 16, 2010, Pages

  Santos, Luiz ^a   Ryu, Shinsei ^b   Chamon, Claudio ^c   Mudry, Christopher ^d  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c Boston University   (United States)

^d PAUL SCHERRER INSTITUTE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78049472700     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.165101     Document Type: Article

References (20)

1. A. Yu. Kitaev, Ann. Phys. 303, 2 (2003). 10.1016/S0003-4916(02)00018-0
2. G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991). 10.1016/0550- 3213(91)90407-O
3. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000) 10.1103/PhysRevB.61. 10267
4. N. Read, Phys. Rev. B 79, 245304 (2009). 10.1103/PhysRevB.79.245304
5. D. A. Ivanov, Phys. Rev. Lett. 86, 268 (2001). 10.1103/PhysRevLett.86.268
6. R. Jackiw and P. Rossi, Nucl. Phys. B 190, 681 (1981). 10.1016/0550-3213(81)90044-4
7. H. B. Nielsen and M. Ninomiya, Nucl. Phys. B 185, 20 (1981). 10.1016/0550-3213(81)90361-8
8. P. Ghaemi and F. Wilczek, arXiv:0709.2626 (unpublished).
9. K. Wilson, in New Phenomena in Subnuclear Physics, edited by, A. Zichichi, (Plenum, New York, 1977).
10. C. Callan and J. Harvey, Nucl. Phys. B 250, 427 (1985). 10.1016/0550-3213(85)90489-4
11. E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57, 2967 (1986). 10.1103/PhysRevLett.57.2967
12. D. Kaplan, Phys. Lett. B 288, 342 (1992). 10.1016/0370-2693(92)91112-M
13. L. Fu and C. L. Kane, Phys. Rev. Lett. 100, 096407 (2008). 10.1103/PhysRevLett.100.096407
14. L. Santos, T. Neupert, C. Chamon, and C. Mudry, Phys. Rev. B 81, 184502 (2010). 10.1103/PhysRevB.81.184502
15. S. Ryu, C. Mudry, C.-Y. Hou, and C. Chamon, Phys. Rev. B 80, 205319 (2009). 10.1103/PhysRevB.80.205319
16. F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). 10.1103/PhysRevLett. 61.2015
17. When Δ ≠ 0, PHS symmetry is broken so that the electron charge is not conserved and it is meaningless to define a Hall conductivity for the charge when the Haldane masses are dominant. Nevertheless, a quantized thermal Hall effect is meaningful when the Haldane masses are dominant, for the Bogoliubov-de-Gennes Hamiltonian is conserved, i.e., the flow of quasiparticle energy is a conserved one. When Δ = 0 and for nonvanishing Haldane masses, the electron and Nambu quasiparticle charges are independently conserved. The charge and thermal Hall conductivities can then be quantized simultaneously.
18. J. Sau, R. Lutchyn, S. Tewari, and S. Das Sarma, Phys. Rev. Lett. 104, 040502 (2010). 10.1103/PhysRevLett.104.040502
19. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009). 10.1103/RevModPhys.81.109
20. M. Sato and S. Fujimoto, Phys. Rev. B 79, 094504 (2009). 10.1103/PhysRevB.79.094504