Vortex state in a superconducting mesoscopic irregular octagon

TL;DR

This study investigates the vortex states in a superconducting mesoscopic irregular octagon by solving the two-band time-dependent Ginzburg-Landau equations, revealing how boundary conditions and sample size influence critical fields.

Contribution

It introduces a detailed analysis of vortex behavior in an irregular octagon with variable boundary conditions using TB-TDGL equations, a novel approach for such geometries.

Findings

Critical fields strongly depend on boundary conditions and sample size.

Superconducting electron density varies with magnetic field and temperature.

Magnetization curves are sensitive to boundary parameters.

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.