Superconductivity Localized at an Edge Dislocation

Abstract

A spatially inhomogeneous superconductor is considered in the Ginzburg—Landau approximation. A spatial inhomogeneity (edge dislocation) is described in terms of the local shift of the superconducting transition temperature in its neighborhood. It is assumed that shift δTc(R) is proportional to the elastic stress produced by the dislocation. It is shown that in this case, localized superconducting states exist at temperatures exceeding Tc of a homogeneous superconductor. The main characteristics of such states are obtained. The same approach is used for describing pinning of Abrikosov vortices at an edge dislocation.