Magnetoresistance due to scattering on the flux lines in a superconductor-insulator-semiconductor multilayer

Abstract
The solution of the electron scattering problem in the field of an Abrikosov vortex is obtained. The flux line lattice, which arises in the superconductor film of a superconductor-insulator-semiconductor multilayer in external magnetic field, creates a modulated field pattern in the semiconductor. The inhomogeneity of the field can lead to additional scattering of the charge carriers in the semiconducting material and, as a result, to a correction to magnetoresistance. This correction is calculated for the case of a large separation between the vortices