Flux Quantization and Time-Reversal Degeneracy

Phys. Rev. 127, 1865 – Published 15 September 1962
Murray Peshkin and W. Tobocman


It is shown on the basis of very general considerations that the observed quantization of the magnetic flux enclosed by a ring superconductor in units of πce implies and is implied by time-reversal degeneracy of the states of the superconductor. This degeneracy results in vanishing electric current density at thermodynamic equilibrium, which is required for consistency with the Meissner effect. The quantization of flux is also used to shed some light on the applicability of the Bardeen-Cooper-Schrieffer approximation in the presence of an enclosed magnetic field.

DOI: http://dx.doi.org/10.1103/PhysRev.127.1865

  • Received 9 April 1962
  • Revised 8 June 1962
  • Published in the issue dated September 1962

© 1962 The American Physical Society

Authors & Affiliations

Murray Peshkin

  • Argonne National Laboratory, Argonne, Illinois

W. Tobocman*

  • Case Institute of Technology, Cleveland, Ohio

  • *Supported in part by a grant from the Sloan Foundation.

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