Bi-dimensional chain-like vortex structure in a mesoscopic superconductor

Abstract

In the framework of the nonlinear Time Dependent Ginzburg – Landau equations we investigated the dynamics of a bi-dimensional chain like structures of vortices at low temperature. The transitions between different linear chains of vortices in a superconducting homogeneous film with both surfaces in contact with a thin layer of metallic material, whose properties are taken into account by the DeGennes boundary conditions via the extrapolation length b, is also analyzed. The magnetization curve, vortex number, vortex configurations and the modulus of the order parameter are studied as a function of the external magnetic field using the numerical method based on the technique of gauge invariant variables. We show how these vortex configurations and structural transitions are affected by b due to the proximity effects. Possible connection with recent theoretical results in a bi-dimensional system of charged particles is discussed.