Vortex state in a superconducting mesoscopic irregular octagon

Abstract

Our study sample is a superconducting bi-dimensional octagon with different boundary conditions immersed in a magnetic external field H. The boundary conditions are simulated by considering different values of the deGennes extrapolation length b on different surfaces of the sample. Our investigation was carried out by solving the two-band time dependent Ginzburg-Landau equations (TB-TDGL). We analyzed the superconducting electron density and the magnetization curves as functions of H and temperature T in zero-field cooling and in zero-field-cooling processes for different values of b and size of the sample. We found a strong dependence of the critical fields on b and size of the sample.