Quantum thermal hall effect in a time-reversal-symmetry-broken topological superconductor in two dimensions: Approach from bulk calculations

Journal of the Physical Society of Japan

Volumn 82, Issue 2, 2013, Pages

  Sumiyoshi, Hiroaki ^a   Fujimoto, Satoshi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Thermal Hall effect; Topological superconductor

Indexed keywords

EID: 84874094313     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.7566/JPSJ.82.023602     Document Type: Article

References (15)

1. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs: Phys. Rev. Lett. 49 (1982) 405.
2. M. Kohmoto: Ann. Phys. 160 (1985) 343.
3. A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig: Phys. Rev. B 78 (2008) 195125.
4. G. E. Volovik: The Universe in a Helium Droplet (Clarendon Press, Oxford, U.K., 2003) p. 136.
5. N. Read and D. Green: Phys. Rev. B 61 (2000) 10267.
6. K. Nomura, S. Ryu, A. Furusaki, and N. Nagaosa: Phys. Rev. Lett. 108 (2012) 026802.
7. T. Qin, Q. Niu, and J. Shi: Phys. Rev. Lett. 107 (2011) 236601.
8. In Ref. 6, it is shown that the thermal Hall conductivity of spinfull Majorana fermions on the surface of a 3D TSC is half-qunaized and associated with the TKNN number. Moreover, this model is related to that of spinless p + ip superconductors via a unitary transformation: c ≡ (φ↑ + iφ↓)/, c† ≡ (φ↑ - iφ↓)/2.
9. M. Sato, Y. Takahashi, and S. Fujimoto: Phys. Rev. Lett. 103 (2009) 020401.
10. M. Sato and S. Fujimoto: Phys. Rev. B 79 (2009) 094504.
11. M. Sato, Y. Takahashi, and S. Fujimoto: Phys. Rev. B 82 (2010) 134521.
12. A. Altland and M. R. Zirnbauer: Phys. Rev. B 55 (1997) 1142.
13. J. M. Luttinger: Phys. Rev. 135 (1964) A1505.
14. The chemical potential of the Bogoliubov quasiparticles is measured from the Fermi level, and set equal to 0. Thus, the energy magnetization is equivalent to the heat magnetization.
15. Supplemental Material of Ref. 7.