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T F -Scaled superconductivity in a fermion-quasiboson mixture with Bose-Einstein condensation

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Czechoslovak Journal of Physics Aims and scope

Abstract

Nonzero center-of-mass momentum Cooper pairs lead to robustly higher superconductingT c values in three as well as in two dimensions, compared with BCST c values. This occurs even in the limit of weakly-coupled, electron-phonon-interacting fermions which bind together into Cooper pairs constituting the quasibosons in an ideal (interactionless) fermion-quasiboson 3D or 2Dmixture that undergoes Bose-Einstein condensation. The result in 3D isT c →0.989T F, whereT F is the Fermi temperature, and compares with the 2D resultT c →T F/ln2≅1.443T F, both of which follow from thelinear dispersion law of a Cooper pair in the longwavelength limit,i.e., small center-of-mass pair momenta.

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References

  1. J. M. Blatt,Theory of Superconductivity (Academic, NY, 1964) and refs. therein.

    MATH  Google Scholar 

  2. S. Fujita, T. Kimura and Y. Zheng, Found. Phys.21, 1117 (1991);ibid S. Fujita, T. Kimura and Y. Zheng, Found. Phys.5, 83 and 219 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  3. M. Randeria, J. M. Duan and L. Y. Shieh, Phys. Rev.B 41, 327 (1990).

    Article  ADS  Google Scholar 

  4. A.S. Davydov, Phys. Reps.190, 191 (1990), see esp. p. 208.

    Article  ADS  Google Scholar 

  5. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev.108, 1175 (1957); D.R. Tilley and J. Tilley,Superfluidity and Superconductivity (Adam Hilger, Bristol, 1990).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. L.N. Cooper, Phys. Rev.104, 1189 (1956).

    Article  MATH  ADS  Google Scholar 

  7. J. R. Schrieffer,Theory of superconductivity (Benjamin, NY, 1964) p. 33.

    MATH  Google Scholar 

  8. M. Casas, S. Fujita, M. de Llano and A. Puente,Exact Cooper-Pair Dispersion Relation and High-T c Bose-Einstein Condensation in Two Dimensions (to be published).

  9. D. Park,Introduction to the Quantum Theory (Mc Graw-Hill, N.Y., 1974) Table 20.1

    Google Scholar 

  10. R. Friedberg, T.D. Lee and H.C. Ren, Phys. Lett.A 152, 417 and 423 (1991).

    Article  ADS  Google Scholar 

  11. A.A. Abrikosov, L.P. Gorkov and I.E. Dzyaloshinski,Methods of Quantum Field Theory in Statistical Physics (Dover, N.Y., 1975) Sec. 33.1

    Google Scholar 

  12. Y.J. Uemuraet al., Phys. Rev. Letters62, 2317 (1989); Y.J. Uemuraet al., ibid Phys. Rev. Letters66, 2665 (1991); Y.J.Uemura and G.M. Luke, Physica B186–188, 223 (1993).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Instituto de Investigaciones en Materiales, UNAM, Apdo. Postal 70-360, 04510, México, DF, México

    A. A. Valladares & M. de Llano

  2. Department of Physics, SUNY, 14260-1500, Buffalo, NY, USA

    S. Fujita

  3. Instituto de Física, UNAM, Apdo. Postal 20-364, 01000, México, D.F., México

    M. A. Solís

Authors
  1. A. A. Valladares
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  2. S. Fujita
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  3. M. de Llano
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  4. M. A. Solís
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Valladares, A.A., Fujita, S., de Llano, M. et al. T F -Scaled superconductivity in a fermion-quasiboson mixture with Bose-Einstein condensation. Czech J Phys 46 (Suppl 2), 599–600 (1996). https://doi.org/10.1007/BF02583607

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  • DOI: https://doi.org/10.1007/BF02583607

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