Advertisement

Effects of Impurities in Non-centrosymmetric Superconductors

  • K. V. SamokhinEmail author
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 847)

Abstract

Effects of disorder on superconducting properties of noncentrosymmetric compounds are discussed. Elastic impurity scattering, even for scalar impurities, leads to a strongly anisotropic mixing of the electron states in the bands split by the spin-orbit coupling. We focus on the calculation of the critical temperature \(T_c,\) the upper critical field \(H_{c2},\) and the spin susceptibility \(\chi_{ij}.\) It is shown that the impurity effects on the critical temperature are similar to those in multi-band centrosymmetric superconductors. In particular, Anderson’s theorem holds for isotropic singlet pairing. In contrast, scalar impurities affect the spin susceptibility in the same way as spin-orbit impurities do in centrosymmetric superconductors. Another peculiar feature is that in the absence of inversion symmetry scalar disorder can mix singlet and triplet pairing channels. This leads to significant deviations of the upper critical field from the predictions of the Werthamer-Helfand-Hohenberg theory in the conventional centrosymmetric case.

Keywords

Critical Temperature Landau Level Spin Susceptibility Order Parameter Component Scalar Impurity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The author is grateful to D. Agterberg, I. Bonalde, S. Fujimoto, V. Mineev, B. Mitrovic, and M. Sigrist for useful discussions. This work was supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada.

References

  1. 1.
    Bauer, E., Hilscher, G., Michor, H., Paul, Ch., Scheidt, E.W., Gribanov, A., Seropegin, Yu., Noël, H., Sigrist, M., Rogl, P.: Phys. Rev. Lett. 92, 027003 (2004)Google Scholar
  2. 2.
    Akazawa, T., Hidaka, H., Fujiwara, T., Kobayashi, T.C., Yamamoto, E., Haga, Y., Settai, R., Onuki, Y.: J. Phys. Condens. Matter 16, L29 (2004)Google Scholar
  3. 3.
    Kimura, N., Ito, K., Saitoh, K., Umeda, Y., Aoki, H., Terashima, T.: Phys. Rev. Lett. 95, 247004 (2005)Google Scholar
  4. 4.
    Sugitani, I., Okuda, Y., Shishido, H., Yamada, T., Thamizhavel, A., Yamamoto, E., Matsuda, T.D., Haga, Y., Takeuchi, T., Settai, R., Onuki, Y.: J. Phys. Soc. Jpn. 75, 043703 (2006)Google Scholar
  5. 5.
    Amano, G., Akutagawa, S., Muranaka, T., Zenitani, Y., Akimitsu, J.: J. Phys. Soc. Jpn. 73, 530 (2004)Google Scholar
  6. 6.
    Togano, K., Badica, P., Nakamori, Y., Orimo, S., Takeya, H., Hirata, K.: Phys. Rev. Lett. 93, 247004 (2004)Google Scholar
  7. 7.
    Badica, P., Kondo, T., Togano, K.: J. Phys. Soc. Jpn. 74, 1014 (2005)Google Scholar
  8. 8.
    Samokhin, K.V.: Ann. Phys. (N. Y.) 324, 2385 (2009)Google Scholar
  9. 9.
    Mineev, V.P. Samokhin, K.V.: Sov. Phys. JETP 78, 401 (1994)Google Scholar
  10. 10.
    Agterberg, D.F.: Physica C 387, 13 (2003)Google Scholar
  11. 11.
    Dimitrova, O.V., Feigel’man, M.V.: JETP Lett. 78, 637 (2003)Google Scholar
  12. 12.
    Samokhin, K.V.: Phys. Rev. B 70, 104521 (2004)Google Scholar
  13. 13.
    Kaur, R.P., Agterberg, D.F., Sigrist, M.: Phys. Rev. Lett. 94, 137002 (2005)Google Scholar
  14. 14.
    Mineev, V.P., Samokhin, K.V.: Phys. Rev. B 78, 144503 (2008)Google Scholar
  15. 15.
    Levitov, L.S., Nazarov, Yu.V., Eliashberg, G.M.: JETP Lett. 41, 445 (1985)Google Scholar
  16. 16.
    Edelstein, V.M.: Sov. Phys. JETP 68, 1244 (1989)Google Scholar
  17. 17.
    Yip, S.K.: Phys. Rev. B 65, 144508 (2002)Google Scholar
  18. 18.
    Fujimoto, S.: Phys. Rev. B 72, 024515 (2005)Google Scholar
  19. 19.
    Edelstein, V.M.: Phys. Rev. B 72, 172501 (2005)Google Scholar
  20. 20.
    Gor’kov, L.P., Rashba, E.I.: Phys. Rev. Lett. 87, 037004 (2001)Google Scholar
  21. 21.
    Frigeri, P.A., Agterberg, D.F., Koga, A., Sigrist, M.: M Phys. Rev. Lett. 92, 097001 (2004) Erratum 93:099903(E) (2004)Google Scholar
  22. 22.
    Samokhin, K.V.: Phys. Rev. B 76, 094516 (2007)Google Scholar
  23. 23.
    Rashba, E.I.: Sov. Phys. Solid State 2, 1109 (1960)Google Scholar
  24. 24.
    Samokhin, K.V., Zijlstra, E.S., Bose, S.K.: Phys. Rev. B 69, 094514 (2004) Erratum: 70:069902(E) (2004)Google Scholar
  25. 25.
    Lee, K-.W., Pickett, W.E.: Phys. Rev. B 72, 174505 (2005)Google Scholar
  26. 26.
    Abrikosov, A.A., Gor’kov, L.P., Dzyaloshinski, I.E.: Methods of Quantum Field Theory in Statistical Physics. Dover, New York (1975)Google Scholar
  27. 27.
    Sergienko, I.A., Curnoe, S.H.: Phys. Rev. B 70, 214510 (2004)Google Scholar
  28. 28.
    Samokhin, K.V., Mineev, V.P.: Phys. Rev. B 77, 104520 (2008)Google Scholar
  29. 29.
    Mineev, V.P., Samokhin, K.V.: Introduction to Unconventional Superconductivity. Gordon and Breach, London (1999)Google Scholar
  30. 30.
    Suhl, H., Matthias, B.T., Walker, L.R.: Phys. Rev. Lett. 3, 552 (1959)Google Scholar
  31. 31.
    Moskalenko, V.A.: Sov. Phys. Met. Metallogr. 8, 25 (1959)Google Scholar
  32. 32.
    Liu, B., Eremin, I.: Phys. Rev. B 78, 014518 (2008)Google Scholar
  33. 33.
    Allen, P.B., Mitrović, B.: Solid state physics. In: Ehrenreich, H., Seitz, F., Turnbull, D. (eds.) vol. 37, p. 1. Academic Press, New York (1982)Google Scholar
  34. 34.
    Mineev, V.P., Samokhin, K.V.: Phys. Rev. 75, 184529 (2007)Google Scholar
  35. 35.
    Abrikosov, A.A., Gor’kov, L.P.: Sov. Phys. JETP 12, 1243 (1960)Google Scholar
  36. 36.
    Larkin, A.I.: JETP Lett. 2, 130 (1965)Google Scholar
  37. 37.
    Frigeri, P.A., Agterberg, D.F., Milat, I., Sigrist, M.: Eur. Phys. J. B 54, 435 (2006)Google Scholar
  38. 38.
    Moskalenko, V.A., Palistrant, M.E.: Sov. Phys. JETP 22, 536 (1966)Google Scholar
  39. 39.
    Kusakabe, T.: Progr. Theor. Phys. 43, 907 (1970)Google Scholar
  40. 40.
    Golubov, A.A., Mazin, I.I.: Phys. Rev. B 55, 15146 (1997)Google Scholar
  41. 41.
    Mineev, V.P., Krotkov, P.L.: Phys. Rev. B 65, 024501 (2001)Google Scholar
  42. 42.
    Gor’kov, L.P.: Sov. Phys. JETP 91, 364 (1959)Google Scholar
  43. 43.
    Helfand, E., Werthamer, N.R.: Phys. Rev. 147, 288 (1966)Google Scholar
  44. 44.
    Werthamer, N.R., Helfand, E., Hohenberg, P.C.: Phys. Rev. 147, 295 (1966)Google Scholar
  45. 45.
    Samokhin, K.V.: Phys. Rev. B 78, 144511 (2008)Google Scholar
  46. 46.
    Tinkham, M.: Introduction to Superconductivity, Ch 10.2, McGraw-Hill, New York (1996)Google Scholar
  47. 47.
    Samokhin, K.V.: Phys. Rev. Lett. 94, 027004 (2005)Google Scholar
  48. 48.
    Abrikosov, A.A., Gor’kov, L.P.: Sov. Phys. JETP 15, 752 (1962)Google Scholar
  49. 49.
    Sharma, P., Sauls, J.A.: J. Low Temp. Phys. 125, 115 (2001)Google Scholar
  50. 50.
    Yasuda, T., Shishido, H., Ueda, T., Hashimoto, S., Settai, R., Takeuchi, T., Matsuda, T.D., Haga, Y., Onuki, Y.: J. Phys. Soc. Jpn. 73, 1657 (2004)Google Scholar
  51. 51.
    Izawa, K., Kasahara, Y., Matsuda, Y., Behnia, K., Yasuda, T., Settai, R., Onuki, Y.: Phys. Rev. Lett. 94, 197002 (2005)Google Scholar
  52. 52.
    Bonalde, I., Ribeiro, R.L., Brämer-Escamilla, W., Rojas, C., Bauer, E., Prokofiev, A., Haga, Y., Yasuda, T., Onuki, Y.: New J. Phys. 11, 055054 (2009)Google Scholar
  53. 53.
    Yogi, M., Mukuda, H., Kitaoka, Y., Hashimoto, S., Yasuda, T., Settai, R., Matsuda, T.D., Haga, Y., Onuki, Y., Rogl, P., Bauer, E.: J. Phys. Soc. Jpn. 75, 013709 (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of PhysicsBrock UniversityOntarioCanadae-mail: kirill.samokhin@brocku.ca

Personalised recommendations