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On the mean field instability of a random model for disordered superconductors

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Abstract

A phenomenological model for a strongly disordered superconductor is considered. This is a modification of the Bardeen-Cooper-Schrieffer approach for a system with random phonon-electron interaction. We show that the instability of its mean field theory cannot be fitted by a power law with a positive exponent, in contrast to a recent result based on perturbation theory.

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References

  1. Bardeen, J., Cooper, L., Schrieffer, J. Phys. Rev.108, 1175 (1957)

    Google Scholar 

  2. Anderson, P. W.: J. Phys. Chem. Sol.11, 26 (1959)

    Google Scholar 

  3. Bednorz, J. G., Müller, K. A.: Z. Phys.B64, 189 (1986)

    Google Scholar 

  4. Oppermann, R.: Nucl. Phys.B280 (FS 18), 753 (1987)

    Google Scholar 

  5. Oppermann, R.: Z. Phys.B70, 49 (1988)

    Google Scholar 

  6. Yonezawa, F., Morigaki, K.: Suppl. Prog. Theor. Phys.53, 1 (1973)

    Google Scholar 

  7. Constantinescu, F., Fröhlich, J., Spencer, T.: J. Stat. Phys.34, 571 (1984)

    Google Scholar 

  8. Lloyd, J.: J. Phys.C2, 1717 (1969)

    Google Scholar 

  9. Wegner, F.: Z. Phys.B44, 9 (1981)

    Google Scholar 

  10. Sakita, B.: Quantum theory of many-variable systems and fields. Singapore: World Scientific 1985

    Google Scholar 

  11. Ziegler, K.: Nucl. Phys.B285 (FS 19), 606 (1987)

    Google Scholar 

  12. Glimm, A., Jaffe, A.: Quantum physics. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  13. Parisi, G. J.: Phys.A13, 1101 (1980)

    Google Scholar 

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Authors and Affiliations

  1. Service de Physique Théorique, CEN Saclay, F-91191, Gif-sur-Yvette cedex, France

    K. Ziegler

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  1. K. Ziegler
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Communicated by T. Spencer

Supported in part by the Deutsche Forschungsgemeinschaft

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Ziegler, K. On the mean field instability of a random model for disordered superconductors. Commun.Math. Phys. 120, 177–193 (1988). https://doi.org/10.1007/BF01217961

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  • DOI: https://doi.org/10.1007/BF01217961

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