De gennes parameter dependence on superconducting properties of mesoscopic circular sector

Abstract

We implemented an algorithm using the link variable method to solve the time dependent Ginzburg-Landau equation in a superconductor prism with circular geometry. The sample is surrounded by a thin layer of another superconductor at higher critical temperature and submitted to an external magnetic field applied perpendicular to its plane. The boundary condition is take account with the de Gennes extrapolation length (b=σ(1-γ)^(-1) ). We evaluate the magnetization, vorticity, the first and third critical thermodynamical fields as a function of the external magnetic field and γ parameter. We found that for this interfaces, the third critical field H_c3 (T) and magnetization are largely increased while the first critical field H_c1 (T) remains practically constant.