Attractive Interaction between Vortices in Type II Superconductors at Arbitrary Temperatures

  • M. C. Leung
  • A. E. Jacobs


In previous work by one of the authors1 it has been shown that there exist type II superconductors for which the initial flux penetration is not in the form of an isolated vortex; it was deduced that such materials have, at the lower critical field, a first-order transition from the Meissner state to a vortex lattice of finite spacing. This phenomenon is loosely referred to as an “attractive interaction” between vortices, and occurs in low-к materials which are not too dirty. The lower boundary of the к region for which the first-order transition occurs is determined from \({{k}_{1}}=1/\sqrt{2}(i.e.,{{H}_{c2}}={{H}_{c}})\) near T = Tc,1 and it is likely that this criterion holds at all temperatures. The upper boundary has been calculated near Tc in Ref. 2 by identifying it with the critical value of K for an attractive interaction between widely separated vortices; this identification has been shown3 to be correct near Tc, but has not been examined at lower temperatures.


Vector Potential Attractive Interaction Decay Length Vortex Lattice Field Reversal 
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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • M. C. Leung
    • 1
  • A. E. Jacobs
    • 1
  1. 1.Department of PhysicsUniversity of TorontoTorontoCanada

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