Journal of Low Temperature Physics

, Volume 10, Issue 1–2, pp 79–93 | Cite as

The description of superconductivity in terms of dielectric response function

  • D. A. Kirzhnits
  • E. G. Maksimov
  • D. I. Khomskii


A critical temperatureTc of a superconducting transition is calculated for a rather general form of the electron-electron interaction. It is shown that even if both the energy and momentum dependence of the interaction is included, the equation determiningTc coincides formally with the corresponding equation of the BCS theory. The kernel of this equation is a smooth real function of its variables; it is expressed through ρ(k, E), the spectral density of the inverse dielectric function of the system. The expression forTc is written in terms of ρ(k, E); this enables us to analyze the dependence of the critical temperature on the properties of the metal in a normal state. Some simple models illustrating the results are considered, and a discussion of the limits onTc is given.


Normal State Simple Model Response Function Critical Temperature Magnetic Material 
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Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • D. A. Kirzhnits
    • 1
  • E. G. Maksimov
    • 1
  • D. I. Khomskii
    • 1
  1. 1.P. N. Lebedev Physical InstituteMoscowUSSR

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