Superconductivity Localized at an Edge Dislocation
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 δT{sub c}(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 T{sub c} 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.