Advertisement

Dilute Fermi Liquid of Heavy Polarons in Copper Oxide Superconductors

  • R. B. Laughlin
  • C. B. Hanna

Abstract

In this paper we point out that a large body of data on the newly discovered copper oxide superconductors points to the existence in these materials of a new type of dilute fermi liquid composed of heavy polarons, which we believe acquire their mass magnetically. Each polaron is a hole doped into the host material, a Mott insulator, self-trapped in a well, much the way a hole added to an alkali halide is trapped. The polaron is mobile, has a mass m* of approximately 6 electron masses, and has ail ionization energy, an upper limit on its binding energy, of approximately 0.15 eV. The fermi energy of the polaron liquid in La2-xSrxCuO4 with x = 0.15 is roughly 80 meV. The smallness of this energy is unprecedented in the phenomenology of superconductivity and is probably the key to understanding these materials.

Keywords

Oscillator Strength Optical Conductivity Fermi Liquid Hall Coefficient Mott Insulator 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    The most recent reference on this subject is P.M. Grant, S.S.P. Parkin, V.Y.Lee, E.M. Engler, M.L. Ramirez, J.E.Vazquez, G. Lim, R.D. Jacowitz, and R.L. Greene, Phys. Rev. Lett. 58, 2482 (1987). The superconductivity discussed in this paper is due to deviations from perfect stoichiometry.Google Scholar
  2. 2.
    L.F. Mattheiss, Phys. Rev. Lett. 58, 1028 (1987); J. Yu, A.J. Freeman, and J.-H. Xu, Phys. Rev. Lett. 58, 1035 (1987).CrossRefGoogle Scholar
  3. 3.
    B.H. Brandow, Adv. Phys. 26, 651 (1977); N.F. Mott, Proc. Roy. Soc., London, A62, 416 (1949).Google Scholar
  4. 4.
    D. Vaknin, S.K. Sinha, D.E. Moncton, D.C. Johnston, J. Newsam, C.R. Safinya, and H.E. King, Jr., Phys. Rev. Lett. 58, 2802 (1987).CrossRefGoogle Scholar
  5. 5.
    J. Orenstein, G.A. Thomas, D.H. Rapkine, C.G. Bethea, B.F. Levine, R.J. Cava, E.A. Rietman, and D.W. Johnson, Jr., (preprint).Google Scholar
  6. 6.
    S. Tajima, S. Uchida, S. Tanaka, S. Kanbe, K. Kitizawa, and K. Kueku, Jpn. J. Appl. Phys. 26, (1987).Google Scholar
  7. 7.
    S.L. Herr, K. Kamaras, C.D. Porter, M.G.Doss, D.B. Turner, D. A. Bonn, J.E.Greedon, C.V. Stager, and T. Timusk, (preprint).Google Scholar
  8. 8.
    J. Appel, Solid State Phys. 21, 193 (1966).CrossRefGoogle Scholar
  9. 9.
    D.A.Bonn, J.E. Greedon, C.V. Stager, T. Timusk, M.G. Doss, S.L. Herr, K. Kamaras, C.D. Porter, D.B. Tanner, J.M. Tarascon, W.R. McKinnon, and L.H. Greene, Phys. Rev. B35, 8843 (1987).CrossRefGoogle Scholar
  10. 10.
    G.A. Thomas, private communication.Google Scholar
  11. 11.
    S. Sugai, M. Sato, and S. Hasoya, Jpn. J. App. Phys. 26, L495 (1987).CrossRefGoogle Scholar
  12. 12.
    B. Renker, F. Gompf, E. Gering, N. Nucker, D. Ewert, W. Reichardt, and H. Rietschel, (preprint).Google Scholar
  13. 13.
    C.R. Fincher, Jr., M. Ozaki, A.J. Heeger, and A.C. MacDiarmid, Phys. Rev. B19, 4140 (1979).CrossRefGoogle Scholar
  14. 14.
    Z. Vardeney, J. Orenstein, and G.L. Baker, Phys. Rev. Lett. 50, 2032 (1983).CrossRefGoogle Scholar
  15. 15.
    E.J. Meie and M.J. Rice, Phys. Rev. Lett. 45, 926 (1980).CrossRefGoogle Scholar
  16. 16.
    N.P. Ong, Z.Z. Wang, J. Clayhold, J.M. Tarascon, L.H. Greene, and W.R. McKinnon, Phys. Rev. B35, 8807 (1987).CrossRefGoogle Scholar
  17. 17.
    C.S. Koonce and M.L. Cohen, Phys. Rev. 177, 707 (1969).CrossRefGoogle Scholar
  18. 18.
    B. Batlogg, A.P. Ramirez, R.J. Cava, R.B. van Dover, and E. A. Rietman, Phys. Rev. B35, 5340 (1987).CrossRefGoogle Scholar
  19. 19.
    W.J. Kossler, J.R. Kemton, X.H. Yu, H.E. Shone, Y.J. Uemura, A.R. Moodenbaugh, M. Suenaga, and C.E. Stronach, Phys. Rev. B35, 7133 (1987).CrossRefGoogle Scholar
  20. 20.
    G. Aeppli, R.J. Cava, E.J. Ansaldo, J.H. Brewer, S.R. Kreitzman, G.M.Luke, D.R. Noaker, and R.F. Kiefl, Phys. Rev. B35, 7129 (1987).CrossRefGoogle Scholar
  21. 21.
    M.F. Hundley, A. Zettl, A. Stacy, and M.L. Cohen, Phys. Rev. B35, 8800 (1987).CrossRefGoogle Scholar
  22. 22.
    R.C. Dynes and W.J. Gallagher, private communication.Google Scholar
  23. 23.
    P.W. Anderson, Science 235, 1196 (1987); P.W. Anderson, G. Baskaran, Z. Zou, and T. Hsu, Phys. Rev. Lett. 58, 2790 (1987).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • R. B. Laughlin
    • 1
    • 2
  • C. B. Hanna
    • 3
  1. 1.Department of PhysicsStanford UniversityStanfordUSA
  2. 2.Lawrence Livermore National LaboratoryUniversity of CaliforniaLivermoreUSA
  3. 3.Department of PhysicsStanford UniversityStanfordUSA

Personalised recommendations