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Topological superconductors in correlated topological insulators on the honeycomb lattice

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Abstract

The paper realizes a topological superconductor (TSC) in correlated topological insulator – the interacting spinful Haldane model. The electrons on the Haldane model with on-site attractive interaction are studied based on mean field theory and random-phase-approximation (RPA) approach. In the intermediate interaction region, the ground state is found to be a TSC with the Chern number ±2. In addition, the edge states and the zero modes of the π-flux are discussed.

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References

  1. G.E. Volovik, Zh. Eksp. Teor. Fiz. 94, 123 (1988) [Sov. Phys. JETP 67, 1804 (1988)]

    Google Scholar 

  2. M.R. Zirnbauer, J. Math. Phys. 37, 4986 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. A. Altland, M.R. Zirnbauer, Phys. Rev. B 55, 1142 (1997)

    Article  ADS  Google Scholar 

  4. A.Y. Kitaev, AIP Conf. Proc. 22, 1134 (2009)

    Google Scholar 

  5. S. Ryu, A.P. Schnyder, A. Furusaki, A.W.W. Ludwig, New J. Phys. 12, 065010 (2010)

    Article  ADS  Google Scholar 

  6. N. Read, D. Green, Phys. Rev. B 61, 10267 (2000)

    Article  ADS  Google Scholar 

  7. M. Sato, Yoshiro Takahashi, Satoshi Fujimoto, Phys. Rev. Lett. 103, 020401 (2009)

    Article  ADS  Google Scholar 

  8. Chuan-wei Zhang, Sumanta Tewari, R.M. Lutchyn, S. Das Sarma, Phys. Rev. Lett. 101, 160401 (2008)

    Article  ADS  Google Scholar 

  9. F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  10. J. He, S.P. Kou, Y. Liang, S.P. Feng, Phys. Rev. B 83, 205116 (2011)

    Article  ADS  Google Scholar 

  11. J. He, Y.H. Zong, S.P. Kou, Y. Liang, S.P. Feng, Phys. Rev. B. 84, 035127 (2011)

    Article  ADS  Google Scholar 

  12. J. He, Y. Liang, S.P. Kou, Phys. Rev. B 85, 205107 (2012)

    Article  ADS  Google Scholar 

  13. M. Iskin, C.A.R. Sá de Melo, Phys. Rev. B 72, 024512 (2005)

  14. E. Taylor, A. Griffin, N. Fukushima, Y. Ohashi, Phys. Rev. A 74, 063626 (2006)

    Article  ADS  Google Scholar 

  15. E. Zhao, A. Paramekanti, Phys. Rev. Lett. 97, 230404 (2006)

    Article  ADS  Google Scholar 

  16. V.L. Berezinskii, Sov. Phys. JETP 34, 610 (1972)

    ADS  Google Scholar 

  17. J.M. Kosterlitz, D.J. Thouless, J. Phys. C 6, 1181 (1973)

    Article  ADS  Google Scholar 

  18. S.L. Zhu, B. Wang, L.-M. Duan, Phys. Rev. Lett. 98, 260402 (2007)

    Article  ADS  Google Scholar 

  19. L.B. Shao, Shi-Liang Zhu, L. Sheng, D.Y. Xing, Z.D. Wang, Phys. Rev. Lett. 101, 246810 (2008)

    Article  ADS  Google Scholar 

  20. C. Chin et al., Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  21. T. Köhler, K. Góral, Rev. Mod. Phys. 78, 1311 (2006)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Su-Peng Kou.

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Liang, Y., He, J., Wu, YJ. et al. Topological superconductors in correlated topological insulators on the honeycomb lattice. Eur. Phys. J. B 86, 466 (2013). https://doi.org/10.1140/epjb/e2013-40521-5

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  • DOI: https://doi.org/10.1140/epjb/e2013-40521-5

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