Steady-current electrodynamics of layered superconductors

Abstract

The model of a layered structure constituted by two, periodically arranged, London superconducting layers is considered in a linear steady-current regime. The model admits exact solutions in a quite general situation. The use of these solutions allows one to derive differential equations describing the steady-current electrodynamics in the limit when characteristic penetration lengths essentially exceed the period of the structure. The intuitive idea that the structure in this limit can be described as an anisotropic medium is only partially confirmed. The London equation has the appropriate anisotropic form, but Maxwell’s equations bear additional features. A magnetic field, divided into components: normal to layers and two parallel, longitudinal and transverse, is not affected as it should be for a uniaxial medium. The normal and longitudinal components are not influenced essentially by the structure, while the transverse component is essentially screened. It is argued that this screening effect is a common feature of layered structures not related to the model.

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