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Topological superfluid in a fermionic bilayer optical lattice

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Abstract

In this paper, a topological superfluid phase with Chern number 𝒞 = ±1, possessing gapless edge states and non-Abelian anyons is designed in a 𝒞 = ±1 topological insulator proximity to an s-wave superfluid on an optical lattice with the effective gauge field and layer-dependent Zeeman field coupled to ultracold fermionic atoms’ pseudo spin. We also study its topological properties and calculate the phase stiffness by using the random-phase-approximation approach. Finally we derive the temperature of the Kosterlitz-Thouless transition by means of renormalized group theory. Owning to the existence of non-Abelian anyons, this 𝒞 = ±1 topological superfluid may be a possible candidate for topological quantum computation.

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References

  1. A. Kitaev, Ann. Phys. 321, 2 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. M. Freedman, M. Larsen, Z. Wang, Commun. Math. Phys. 227, 605 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. J. Eisenstein, K. Cooper, L. Pfeiffer, K. West, Phys. Rev. Lett. 88, 076801 (2002)

    Article  ADS  Google Scholar 

  4. J. **a, W. Pan, C.L. Vicente, E.D. Adams, N.S. Sullivan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 93, 176809 (2004)

    Article  ADS  Google Scholar 

  5. S. Das Sarma, C. Nayak, S. Tewari, Phys. Rev. B 73, 220502 (2006)

    Article  Google Scholar 

  6. J. Alice, Y. Oreg, G. Refael, F. von Oppen, M.P.A. Fisher, Nature Physics 7, 412 (2011)

    Article  ADS  Google Scholar 

  7. L. Fu, C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008)

    Article  ADS  Google Scholar 

  8. M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, I. Bloch, Nature 415, 39 (2002)

    Article  ADS  Google Scholar 

  9. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)

    Article  ADS  Google Scholar 

  10. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), U. Sen, Adv. Phys. 56, 243 (2007)

    Article  ADS  Google Scholar 

  11. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  12. G. Juzeliunas, P. Ohberg, Optical Manipulation of Ultracold Atoms, in Structured Light and its Applications (Elevier, Amsterdam, 2008)

  13. L.B. Shao, S.-L. Zhu, L. Sheng, D.Y. **ng, Z.D. Wang, Phys. Rev. Lett. 101, 246810 (2008)

    Article  ADS  Google Scholar 

  14. I.B. Spielman, Phys. Rev. A 79, 063613 (2009)

    Article  ADS  Google Scholar 

  15. Y.-J. Lin, R.L. Compton, A.R. Perry, W.D. Phillips, J.V. Porto, I.B. Spielman, Phys. Rev. Lett. 102, 130401 (2009)

    Article  ADS  Google Scholar 

  16. Y.-J. Lin, R.L. Compton, K. Jiménez-García, J.V. Porto, I.B. Spielman, Nature 462, 628 (2009)

    Article  ADS  Google Scholar 

  17. Y.-J. Lin, R.L. Compton, K. Jiménez-García, I.B. Spielman, Nature 471, 83 (2011)

    Article  ADS  Google Scholar 

  18. M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen, I. Bloch, Phys. Rev. Lett. 107, 255301 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. S. Coleman, Phys. Rev. D 15, 2929 (1977)

    Article  ADS  Google Scholar 

  21. C.G. Callan Jr., S. Coleman, Phys. Rev. D 16, 1762 (1977)

    Article  ADS  Google Scholar 

  22. K.L. Lee, B. Gréaud, R. Han, B.-G. Englert, C. Miniatura, Phys. Rev. A 80, 043411 (2009)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  24. T. Köhler, K. Góral, P.S. Julienne, Rev. Mod. Phys. 78, 1311 (2006)

    Article  ADS  Google Scholar 

  25. C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  26. S.A. Morgan, M.D. Lee, K. Burnett, Phys. Rev. A 65, 022706 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. X.L. Qi, Taylor L. Hughes, S.C. Zhang, Phys. Rev. B 82, 184516 (2010)

    Article  ADS  Google Scholar 

  31. X. Liu, Z. Wang, X.C. **e, Y. Yu, Phys. Rev. B 83, 125105 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

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Correspondence to Su-Peng Kou.

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Wu, YJ., He, J., Zang, CL. et al. Topological superfluid in a fermionic bilayer optical lattice. Eur. Phys. J. B 86, 105 (2013). https://doi.org/10.1140/epjb/e2013-31045-1

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