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Prog. Theor. Phys. Vol. 28 No. 5 (1962) pp. 857-869

[ Full Text PDF : FREE ACCESS (1040K) ]

On Dirty Superconductors

Toshihiko Tsuneto

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received June 26, 1962)

Abstract:

The purpose of this work is to study the mean free path efffect of non-magnetic impurities on superconductors. It is shown by including the impurities in the electron-phonon system that, contrary to the results of the earlier theories, there is no change in the transition temperature which is of the order of 1/ωc τ, where ωc is the cutoff frequency of the BCS theory and τ the relaxation time in the normal state due to the scattering. The same effect on the superconductor with the anisotropic energy gap is studied explicitly. The scattering in this case leads to the reduction of the transition temperature which is initially linear in 1/τ but becomes logarithmic when τTc < 1. The gap in the excitation spectrum is shown to become isotropic when the mean free path is smaller than the coherence length. Thus, Anderson's theory of dirty superconductors is formulated and justified.


URL : http://ptp.ipap.jp/link?PTP/28/857/
DOI : 10.1143/PTP.28.857

[ Full Text PDF : FREE ACCESS (1040K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 78 (2009) 074709 (6 pages) :
    Effect of Magnetic Impurity Scattering on Superconducting Transition in Low Dimensions: Effect of Long-Time-Tail of Magnetization Diffusion
    Shinya Nishiyama and Kazumasa Miyake
  2. Journal of the Physical Society of Japan 78 (2009) 094712 (8 pages) :
    Anisotropic Superconductivity in Highly Disordered Systems
    Takahiro Toyama and Fusayoshi J. Ohkawa
  3. Journal of the Physical Society of Japan 80 (2011) 084708 (11 pages) :
    Impurity Effect on Superconductivity in Critical-Valence-Fluctuations Region
    Akihisa Okada and Kazumasa Miyake
  4. Progress of Theoretical Physics Vol. 37 No. 1 (1967) pp. 1-12 :
    Spatial Variation of the Order Parameter in the Vicinity of a Paramagnetic Impurity
    Toshio Tsuzuki and Toshihiko Tsuneto
  5. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 291a-304 :
    Thermodynamic and Electromagnetic Properties of Superconductors with Non-Magnetic Transition Element Impurities
    Kenji Takanaka and Tomitaro Nagashima
  6. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 907-916 :
    Superconductivity in Transition Metals with Nonmagnetic Impurities
    Takashi Kusakabe
  7. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 1060-1061 :
    Transition Temperature of A-15 Superconductors with Defects
    Isao Nakayama and Toshihiko Tsuneto
  8. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1418-1427 :
    Properties of A-15 Superconductors with Defects
    Isao Nakayama and Toshihiko Tsuneto
  9. Progress of Theoretical Physics Supplement No.84 (1985) pp. 154-165 :
    Localization and Superconductivity
    Sadamichi Maekawa, Hiromichi Ebisawa and Hidetoshi Fukuyama

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