Skip to main content
Log in

Thermoelectric transport in the topological phase due to the coexistence of superconductivity and spin-density-wave

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We study the thermoelectric transport in two dimensional topological system which has coexistence of superconductivity (SC) and spin-density wave (SDW). The SC is presumed to be of d x2 − y2 + (p x + i p y ) type whereas the SDW order parameter is of BCS symmetry. The Hamiltonian describing such a coexistence phase is shown to have topological phase in addition to the conventional one. The transport properties in such topological system have two distinct contributions: (i) the surface/edge and (ii) the bulk. The competition between the surface/edge versus the bulk transport is analyzed in different parameter regimes and the possibility of enhancing the figure of merit is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  2. X.-L. Qi, S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)

    Article  ADS  Google Scholar 

  3. C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005)

    Article  ADS  Google Scholar 

  4. L. Sheng, D.N. Sheng, C.S. Ting, F.D.M. Haldane, Phys. Rev. Lett. 95, 136602 (2005)

    Article  ADS  Google Scholar 

  5. B.A. Bernevig, S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006)

    Article  ADS  Google Scholar 

  6. B.A. Bernevig, T.L. Hughes, S.-C. Zhang, Science 314, 1757 (2006)

    Article  ADS  Google Scholar 

  7. M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L.W. Molenkamp, X.-L. Qi, S.-C. Zhang, Science 318, 766 (2008)

    Article  Google Scholar 

  8. J.E. Moore, Nature 464, 194 (2010)

    Article  ADS  Google Scholar 

  9. X.L. Qi, S.C. Zhang, Phys. Today 63, 33 (2010)

    Article  ADS  Google Scholar 

  10. G. Moore, N. Read, Nucl. Phys. B 360, 362 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  11. Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. C. Nayak, F. Wilczek, Nucl. Phys. B 479, 529 (1996)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. E. Fradkin, C. Nayak, A. Tsvelik, F. Wilczek, Nucl. Phys. B 516, 704 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49 405 (1982)

    Article  ADS  Google Scholar 

  15. C. Nayak, S.H. Simon, A. Stern, M. Freedman, S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. D.A. Ivanov, Phys. Rev. Lett. 86, 268 (2001).

    Article  ADS  Google Scholar 

  18. A. Stern, F. von Oppen, E. Mariani, Phys. Rev. B 70, 205338 (2004)

    Article  ADS  Google Scholar 

  19. Y.-M. Lu, T. Xiang, D.-H. Lee, Nat. Phys. 10, 634 (2014)

    Article  Google Scholar 

  20. T. Das, arXiv:1312.0544 [cond-mat.supr-con] (2013)

  21. A. Gupta, D. Sa, Solid State Commun. 203, 41 (2015)

    Article  ADS  Google Scholar 

  22. A. Gupta, D. Sa, arXiv:1503.04969v1 [cond-mat.supr-con] (2015)

  23. R. Takahashi, S. Murakami, Phys. Rev. B 81, 161302 (2010)

    Article  ADS  Google Scholar 

  24. H.J. Goldsmid, Thermoelectric Refrigeration (Plenum, New York, 1964)

  25. L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 12727 (1993)

    Article  ADS  Google Scholar 

  26. L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 16631 (1993)

    Article  ADS  Google Scholar 

  27. D. Hsieh, D. Qian, L. Wray, Y. Xia, Y.S. Hor, R.J. Cava, M.S. Hasan, Nature 452, 970 (2008)

    Article  ADS  Google Scholar 

  28. Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y.S. Hor, R.J. Cava, M.Z. Hasan, Nat. Phys. 5, 398 (2009)

    Article  Google Scholar 

  29. Y.L. Chen, J.G. Analytis, J.-H. Chu, Z.K. Liu, S.-K. Mo, X.L. Qi, H.J. Zhang, D.H. Lu, X. Dai, Z. Fang, S.C. Zhang, I.R. Fisher, Z. Hussain, Z.-H. Shen, Science 325, 178 (2009)

    Article  ADS  Google Scholar 

  30. G.D. Mahan, Many-Particle Physics (Plenum, New York, 2000)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amit Gupta.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gupta, A., Sa, D. Thermoelectric transport in the topological phase due to the coexistence of superconductivity and spin-density-wave. Eur. Phys. J. B 89, 1 (2016). https://doi.org/10.1140/epjb/e2015-60366-0

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2015-60366-0

Keywords

Navigation