Skip to main content
Log in

Magnetic impurities in a two-dimensional superfluid Fermi gas with spin-orbit coupling

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

Abstract

We study magnetic impurities in a two dimensional superfluid Fermi gas with the spin-orbit coupling and find that the spin-orbit coupling makes some dramatic impacts on the effects of magnetic impurities. For the single impurity problem, we find that the number of bound states localized around the magnetic impurity is doubled. For the finite concentration n of impurities, we find that the energy gap is reduced and the density of states in the gapless region is greatly modified; there exists a gapless superfluid and N(ω) ∝ ω in the small ω limit.

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.A. Regal, M. Greiner, D.S. Jin, Phys. Rev. Lett. 92, 040403 (2004)

    Article  ADS  Google Scholar 

  4. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J.H. Denschlag, R. Grimm, Phys. Rev. Lett. 92, 120401 (2004)

    Article  ADS  Google Scholar 

  5. M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, A.J. Kerman, W. Ketterle, Phys. Rev. Lett. 92, 120403 (2004)

    Article  ADS  Google Scholar 

  6. J. Kinast, S.L. Hemmer, M.E. Gehm, A. Turlpov, J.E. Thomas, Phys. Rev. Lett. 92, 150402 (2004)

    Article  ADS  Google Scholar 

  7. 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 

  8. Y.-J. Lin, K. Jimenez-Garcia, I.B. Spielman, Nature 471, 83 (2011)

    Article  ADS  Google Scholar 

  9. Xiaosen Yang, Shaolong Wan, Phys. Rev. A 85, 023633 (2012)

    Article  ADS  Google Scholar 

  10. R. Zitko, J. Bonca, Phys. Rev. B 84, 193411 (2011)

    Article  ADS  Google Scholar 

  11. M. Zarea, S.E. Ulloa, N. Sandler, Phys. Rev. Lett. 108, 046601 (2012)

    Article  ADS  Google Scholar 

  12. L. Isaev, D.F. Agterberg, I. Vekhter, Phys. Rev. B 85, 081107 (2012)

    Article  ADS  Google Scholar 

  13. A.A. Abrikosov, L.P. Gor’kov, Sov. Phys. JETP 15, 752 (1962)

    Google Scholar 

  14. K. Maki, in Superconductivity, edited by R.D. Parks (Marcel Dekker, New York, 1969), pp. 1045–1046

  15. C. Zipkes, S. Palzer, C. Sias, M. Kohl, Nature 464, 388 (2010)

    Article  ADS  Google Scholar 

  16. G. Modugno, Rep. Prog. Phys. 73, 102401 (2010)

    Article  ADS  Google Scholar 

  17. A. Schirotzek, C.H. Wu, A. Sommer, M.W. Zwierlein, Phys. Rev. Lett. 102, 230402 (2009)

    Article  ADS  Google Scholar 

  18. S. Nascimbene, N. Navon, K.J. Jiang, L. Tarruell, M. Teichmann, J. McKeever, F. Chevy, C. Salomon, Phys. Rev. Lett. 103, 170402 (2009)

    Article  ADS  Google Scholar 

  19. Y. Ohashi, Phys. Rev. A 83, 063611 (2011)

    Article  ADS  Google Scholar 

  20. H. Shiba, Prog. Theor. Phys. 40, 435 (1968)

    Article  ADS  Google Scholar 

  21. A. Altland, B. Simons, Condensed Matter Field Theory (Cambridge University Press, New York, 2006)

  22. Lei Jiang, Leslie O. Baksmaty, Hui Hu, Yan Chen, Han Pu, Phys. Rev. A 83, 061604 (2011)

    Article  ADS  Google Scholar 

  23. Ø. Fischer, M. Kugler, I. Maggio-Aprile, C. Berthod, Rev. Mod. Phys. 79, 353 (2007)

    Article  ADS  Google Scholar 

  24. G. Rickayzen, Green’s Functions and Condensed Matter (Academic Press, London, 1980)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. L. Wan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yan, Z.B., Yang, X.S., Sun, L. et al. Magnetic impurities in a two-dimensional superfluid Fermi gas with spin-orbit coupling. Eur. Phys. J. B 85, 417 (2012). https://doi.org/10.1140/epjb/e2012-30789-2

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-30789-2

Keywords

Navigation