Journal of Low Temperature Physics

, Volume 53, Issue 3–4, pp 359–374 | Cite as

Superconductivity in a quasi-one-dimensional metal with impurities

  • A. A. Abrikosov


The influence of ordinary impurities on the superconducting transition is studied in a quasi-one-dimensional metal. Superconductivity is considered in a self-consistent field (BCS) approximation. It is shown that, depending on the properties of the electron-electron interaction, singlet or triplet superconductivity may appear. Impurities do not influence the critical temperature in the singlet case but destroy the triplet superconductivity. The concentration dependence of the critical temperature in the triplet case is in qualitative agreement with the experimental results for irradiated quasi-1d superconductors; therefore triplet superconductivity may be supposed in these systems. The superconducting current is calculated in the vicinity of the transition temperature and hence the longitudinal dielectric constant for not too high frequencies.


Dielectric Constant Transition Temperature Critical Temperature Magnetic Material Concentration Dependence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. A. Abrikosov and E. A. Dorotheyev,J. Low Temp. Phys. 46, 53 (1982).Google Scholar
  2. 2.
    P. W. Anderson,J. Phys. Chem. Solids 11, 26 (1959).Google Scholar
  3. 3.
    A. A. Abrikosov and I. A. Ryzhkin,Adv. Phys. 27, 147 (1978).Google Scholar
  4. 4.
    V. L. Berezinskii and L. P. Gor'kov,Zh. Eksp. Teor. Fiz. 78, 813 (1980).Google Scholar
  5. 5.
    A. I. Larkin,Pis'ma Zh. Eksp. Teor. Fiz. 2, 205 (1963).Google Scholar
  6. 6.
    A. A. Abrikosov and L. P. Gor'kov,Zh. Eksp. Teor. Fiz. 39, 178 (1960).Google Scholar
  7. 7.
    D. Jérome and H. J. Schulz,Adv. Phys. 31, 299 (1982).Google Scholar
  8. 8.
    S. Bouffard, M. Ribault, R. Brusetti, D. Jérome and K. Bechgaard,J. Phys. C 15, 2951 (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • A. A. Abrikosov
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsMoscowUSSR

Personalised recommendations