Time-Dependent Superconductivity

  • D. J. Scalapino
Conference paper


The consequences of charge conservation on time dependent phenomena in superconductors are explored. Combined with the simple relaxation form of the time dependent Ginzburg-Landau equations, the demand of charge conservation implies that there is a charge buildup and a difference in the chemical potential of paired and unpaired electrons when there is a divergence of the supercurrent. As examples of the theory we will discuss:
  1. (1)

    the breakdown of the Josephson frequency condition, 2eV = hν;

  2. (2)

    current flow across a normal-super interface;

  3. (3)

    the dynamics of superconducting weak links.



Weak Link Tunnel Junction Electrochemical Potential Charge Conservation Phase Gradient 
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References and Footnotes

  1. 1.
    E. Abrahams and T. Tsuneto, Phys. Rev. 152, 416 (1966).CrossRefGoogle Scholar
  2. 2.
    “Charge Conservation and Chemical Potentials in Time Dependent Ginzburg-Landau Theory”, T. J. Rieger, D. J. Scalapino, and J. E. Mercereau, Phys. Rev. Letters 27, 1787 (1971).CrossRefGoogle Scholar
  3. 3.
    “Dynamic Behavior of Weak Superconductors”, T. J. Rieger, D. J. Scalapino, and J. E. Mercereau, to be published.Google Scholar
  4. 4.
    V. L. Ginzburg and L. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950).Google Scholar
  5. 5.
    L. P. Gor’kov and G. M. Eliashberg, Zh. Eksp. Teor. Fiz. 54, 612 (1968) [Soviet Phys. JETP 27, 328 (1968)].Google Scholar
  6. 6.
    F. Bloch, Phys. Rev. 2, 109 (1970).CrossRefGoogle Scholar
  7. 7.
    This is a factor of 10 larger than the estimate given in Ref. 1, because there μo was taken as 1 eV. For Pb or Sn 10 eV is more realistic.Google Scholar
  8. 8.
    R. Kummel, Z. Phys. 218, 472 (1969).CrossRefGoogle Scholar
  9. 9.
    “Ac and dc Potential in Superconducting Phase Slip Structures”, J. E. Mercereau, H. A. Notarys, and R. K. Kirschman, Phys. Letters 34A, 209 (1971).Google Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • D. J. Scalapino
    • 1
  1. 1.University of California, Santa BarbaraSanta BarbaraUSA

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