Evaluation of the GinzburgLandauAbrikosovGor'kov Parameters from a Nonlocal, Nonlinear Theoretical Model
Abstract
Expressions for the GinzburgLandauAbrikosovGor'kov (GLAG) parameters such as the weakfield penetration depth δ_{0}, the dimensionless parameter κ, and the range of order parameter δ_{0}κ have been obtained from a simple, nonlocal, nonlinear theoretical model previously used to calculate the critical fields of superconducting films. We have shown that in the local limit, these expressions yield results which are in quite good agreement with those obtained by other techniques. We have also obtained simple expressions for these parameters which are valid in the thin film limit. From these limiting formulas, it is apparent that κ can get large in thin films, and it is estimated that κ exceeds the critical value of 12 in indium films somewhat thinner than 1000 Å. We also conclude that in the thin limit, one would expect the order parameter to be nearly constant across the film thickness.
 Publication:

Physical Review
 Pub Date:
 March 1964
 DOI:
 10.1103/PhysRev.133.A1218
 Bibcode:
 1964PhRv..133.1218T