Advertisement

Journal of Superconductivity and Novel Magnetism

, Volume 22, Issue 2, pp 103–107 | Cite as

Unconventional Pairs Glued by Conventional Phonons in Cuprate Superconductors

  • A. S. Alexandrov
Original Paper

Abstract

It has gone almost unquestioned that superexchange in the tJ (or Hubbard) model, and not phonons, is responsible for the unconventional (“d-wave”) pairing symmetry of cuprate superconductors. However, a number of advanced numerical studies have not found superconductivity in the Hubbard (or tJ) model. On the other hand, compelling experimental evidence for a strong electron–phonon interaction (EPI) has currently arrived. Here I briefly review some phonon-mediated unconventional pairing mechanisms. In particular the anisotropy of sound velocity makes the phonon-mediated attraction of electrons non-local in space providing unconventional Cooper pairs with a non-zero orbital momentum already in the framework of the conventional BCS theory with weak EPI. In the opposite limit of strong EPI rotational symmetry breaking appears as a result of a reduced Coulomb repulsion between unconventional bipolarons. Using the variational Monte Carlo method we have found that a relatively weak finite-range EPI induces a d-wave BCS state also in doped Mott–Hubbard insulators or strongly-correlated metals. These results tell us that poorly screened EPI with conventional phonons is responsible for the unconventional pairing in cuprate superconductors.

Keywords

Electron–phonon interaction Sound speed anisotropy Pairing symmetry Bipolarons Cuprates 

PACS

71.38.-k 74.40.+k 72.15.Jf 74.72.-h 74.25.Fy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bardeen, J., Cooper, L.N., Schrieffer, J.R.: Phys. Rev. 108, 1175 (1957) MATHCrossRefADSMathSciNetGoogle Scholar
  2. 2.
    Landau, L.D., Lifshitz, E.M.: Quantum Mechanics. Pergamon, Elmsford (1977), pp. 59, 237 Google Scholar
  3. 3.
    Alexandrov, A.S.: Theory of Superconductivity: From Weak to Strong Coupling. IoP and Taylor and Francis Publishers, Bristol (2003) Google Scholar
  4. 4.
    Alexandrov, A.S., Mott, N.F.: Rep. Prog. Phys. 57, 1197 (1994) CrossRefADSGoogle Scholar
  5. 5.
    Alexandrov, A.S.: Phys. Rev. B 77, 094502 (2008) CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Alexandrov, A.S.: Phys. Rev. B 53, 2863 (1996) CrossRefADSGoogle Scholar
  7. 7.
    Alexandrov, A.S., Bratkovsky, A.M.: Phys. Rev. Lett. 84, 2043 (2000) CrossRefADSGoogle Scholar
  8. 8.
    Anderson, P.W., Lee, P.A., Randeria, M., Rice, T.M., Trivedi, N., Zhang, F.C.: J. Phys. Condens. Matter 16, R755 (2004) CrossRefADSGoogle Scholar
  9. 9.
    Kim, J.H., Feenstra, B.J., Somal, H.S., van der Marel, D., Lee, W.Y., Gerrits, A.M., Wittlin, A.: Phys. Rev. B 49, 13065 (1994) CrossRefADSGoogle Scholar
  10. 10.
    Bauer, T., Falter, C.: arXiv:0808.2765
  11. 11.
    Alexandrov, A.S., Kornilovitch, P.E.: J. Phys. Condens. Matter 14, 5337 (2002) CrossRefADSGoogle Scholar
  12. 12.
    Alexandrov, A.S.: In: Narlikar, A.V. (ed.) Studies in High Temperature Superconductors: Golden Jubilee Volume. Nova Science Publishers, New York (2006) Google Scholar
  13. 13.
    Hague, J.P., Kornilovitch, P.E., Samson, J.H., Alexandrov, A.S.: Phys. Rev. Lett. 98, 037002 (2007) CrossRefADSGoogle Scholar
  14. 14.
    Hardy, T.M., Hague, J.P., Samson, J.H., Alexandrov, A.S.: arXiv:0806.2810
  15. 15.
    Zhao, G., Morris, D.E.: Phys. Rev. B 51, 16487 (1995) ; CrossRefADSGoogle Scholar
  16. 16.
    Zhao, G.-M., Hunt, M.B., Keller, H., Müller, K.A.: Nature 385, 236 (1997) CrossRefADSGoogle Scholar
  17. 17.
    Khasanov, R., Eshchenko, D.G., Luetkens, H., Morenzoni, E., Prokscha, T., Suter, A., Garifianov, N., Mali, M., Roos, J., Conder, K., Keller, H.: Phys. Rev. Lett. 92, 057602 (2004) CrossRefADSGoogle Scholar
  18. 18.
    Lanzara, A., Bogdanov, P.V., Zhou, X.J., Kellar, S.A., Feng, D.L., Lu, E.D., Yoshida, T., Eisaki, H., Fujimori, A., Kishio, K., Shimoyana, J.I., Noda, T., Uchida, S., Hussain, Z., Shen, Z.X.: Nature 412, 510 (2001) CrossRefADSGoogle Scholar
  19. 19.
    Meevasana, W., Ingle, N.J.C., Lu, D.H., Shi, J.R., Baumberger, F., Shen, K.M., Lee, W.S., Cuk, T., Eisaki, H., Devereaux, T.P., Nagaosa, N., Zaanen, J., Shen, Z.-X.: Phys. Rev. Lett. 96, 157003 (2006) CrossRefADSGoogle Scholar
  20. 20.
    Mihailovic, D., Foster, C.M., Voss, K., Heeger, A.J.: Phys. Rev. B 42, 7989 (1990) CrossRefADSGoogle Scholar
  21. 21.
    Calvani, P., Capizzi, M., Lupi, S., Maselli, P., Paolone, A., Roy, P., Cheong, S.W., Sadowski, W., Walker, E.: Solid State Commun. 91, 113 (1994) CrossRefADSGoogle Scholar
  22. 22.
    Zamboni, R., Ruani, G., Pal, A.J., Taliani, C.: Solid State Commun. 70, 813 (1989) CrossRefADSGoogle Scholar
  23. 23.
    Sendyka, T.R., Dmowski, W., Egami, T.: Phys. Rev. B 51, 6747 (1995) CrossRefADSGoogle Scholar
  24. 24.
    Egami, T.: J. Low Temp. Phys. 105, 791 (1996) CrossRefADSGoogle Scholar
  25. 25.
    Reznik, D., Pintschovius, L., Ito, M., Iikubo, S., Sato, M., Goka, H., Fujita, M., Yamada, K., Gu, G.D., Tranquada, J.M.: Nature (Lond.) 440, 1170 (2006) CrossRefADSGoogle Scholar
  26. 26.
    Lee, J., Fujita, K., McElroy, K., Slezak, J.A., Wang, M., Aiura, Y., Bando, H., Ishikado, M., Masui, T., Zhu, J.X., Balatsky, A.V., Eisaki, H., Uchida, S., Davis, J.C.: Nature 442, 546 (2006) CrossRefADSGoogle Scholar
  27. 27.
    Radovic, Z., Bozovic, N., Bozovic, I.: Phys. Rev. B 77, 092508 (2008) CrossRefADSGoogle Scholar
  28. 28.
    Abrikosov, A.A.: Phys. Rev. B 52, R15738 (1995) CrossRefADSGoogle Scholar
  29. 29.
    Hizhnyakov, V., Sigmund, E.: Phys. Rev. B 53, 5163 (1996) CrossRefADSGoogle Scholar
  30. 30.
    Shen, Z.X., Lanzara, A., Ishihara, S., Nagaosa, N.: Philos. Mag. B 82, 1349 (2002) CrossRefADSGoogle Scholar
  31. 31.
    Kulic, M.L.: J. Supercond. 19, 213 (2006) CrossRefGoogle Scholar
  32. 32.
    Klironomos, F.D., Tsai, S.W.: Phys. Rev. B 74, 205109 (2006) CrossRefADSGoogle Scholar
  33. 33.
    Schnell, I., Mazin, I.I., Liu, A.Y.: Phys. Rev. B 74, 184503 (2006) CrossRefADSGoogle Scholar
  34. 34.
    Hague, J.P.: Phys. Rev. B 73, 060503(R) (2006) ADSGoogle Scholar
  35. 35.
    Chang, F., et al.: Supercond. Sci. Technol. 6, 484 (1993) CrossRefADSGoogle Scholar
  36. 36.
    Alexandrov, A.S.: Int. J. Mod. Phys. B 14, 3298 (2000) CrossRefADSGoogle Scholar
  37. 37.
    Andreev, A.F.: Pis’ma Z. Eksp. Teor. Fiz. 79, 100 (2004) Google Scholar
  38. 38.
    Zhai, Z., et al.: Phys. Rev. B 63, 092508 (2001) CrossRefADSGoogle Scholar
  39. 39.
    Aimi, T., Imada, M.: J. Phys. Soc. Jpn. 76, 113708 (2007) CrossRefADSGoogle Scholar
  40. 40.
    Furukawa, N., Imada, M.: J. Phys. Soc. Jpn. 61, 3331 (1992) CrossRefADSGoogle Scholar
  41. 41.
    Zhang, S., Carlson, J., Gubernatis, J.E.: Phys. Rev. Lett. 78, 4486 (1997) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of PhysicsLoughborough UniversityLoughboroughUK

Personalised recommendations