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Self-consistent pair potential in superconductors. I. The superconductor-insulator boundary nearT c

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Abstract

A method valid at all temperatures belowT c is presented for the self-consistent solution of the Bogoliubov-de Gennes equations. Computation is reduced to manageable proportions by using an Ansatz for the pair potential, and determining the parameters in the Ansatz by requiring self-consistency. For the simple geometry of a semiinfinite slab of superconductor in contact with an insulator (or vacuum), the Ansatz Δ=Δ∞ tanh αz is found to be good close to the transition temperature and correctly recovers the Ginzburg-Landau theory asT →T c.

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References

  1. L. P. Gor'kov,Zh. Eksperim. i. Teor. Fiz. 36, 1918 (1959) [English transl.:Soviet Phys.—JETP 9, 1364 (1959)].

    Google Scholar 

  2. V. L. Ginzburg and L. D. Landau,Zh. Eksperim. i Teor. Fiz. 20, 1064 (1950).

    Google Scholar 

  3. L. Neumann and L. Tewordt,Z. Physik 189, 55 (1966).

    Google Scholar 

  4. J. Bardeen, R. Kümmel, A. E. Jacobs, and L. Tewordt,Phys. Rev. 187, 556 (1969).

    Google Scholar 

  5. P. G. de Gennes,Superconductivity of Metals and Alloys (Benjamin, New York, 1966); N. N. Bogoliubov,Zh. Eksperim. i Teor. Fiz. 34, 58, 73 (1958) [English transl.:Soviet Phys.—JETP 7, 41, 51 (1958)].

    Google Scholar 

  6. Chia-Ren Hu,Phys. Rev. B 6, 1 (1972).

    Google Scholar 

  7. R. M. Cleary,Phys. Rev. B 1, 1039 (1970); A. E. Jacobs,Phys. Rev. B 2, 3587 (1970).

    Google Scholar 

  8. J. Bar-Sagi and C. G. Kuper,Phys. Rev. Letters 28, 1556 (1972).

    Google Scholar 

  9. A. F. Andreev,Zh. Eksperim i Teor. Fiz. 46, 1823 (1964) [English transl.:Soviet Phys.—JETP 19, 1228 (1964)].

    Google Scholar 

  10. J. Bardeen, L. N. Cooper, and J. R. Schrieffer,Phys. Rev. 108, 1175 (1957).

    Google Scholar 

  11. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi,Higher Transcendental Functions, Vol. 1 (Bateman manuscript project; McGraw-Hill, New York, 1953), p. 172.

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Author notes

  1. J. Bar-Sagi

    Present address: Max-Planck-Institut für Festkörperforschung, Stuttgart, West Germany

Authors and Affiliations

  1. Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel

    J. Bar-Sagi & C. G. Kuper

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  1. J. Bar-Sagi
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  2. C. G. Kuper
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Additional information

This research is part of a thesis submitted by J. B. in partial fulfillment of the requirements for the D. Sc. degree of the Technion-Israel Institute of Technology.

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Bar-Sagi, J., Kuper, C.G. Self-consistent pair potential in superconductors. I. The superconductor-insulator boundary nearT c . J Low Temp Phys 16, 73–85 (1974). https://doi.org/10.1007/BF00655860

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  • DOI: https://doi.org/10.1007/BF00655860

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