Simple theoretical proposal of the dependence of the deGennes extrapolation parameter with the surface temperature of a superconducting sample

The Time-dependent Ginzburg–Landau model (TDGLM) is a robust tool widely used to analyze the magnetization of the single-vortex state of a mesoscopic superconducting sample in presence of a magnetic field. The algorithm implemented in this work is applied to a square geometry surrounded by different kinds of materials simulated by deGennes extrapolation length. The inside of the sample remains at constant temperature, while its boundary remains at temperature. This temperature variation in the sample can be generated by a continuous laser wave injected into all the internal points, except for a thin surface layer in the boundary of the material. We found that the b value at, which mimics the magnetization curve for a corresponding, presents a linear dependence with the temperature. Therefore, although within the domain of validity TDGLM the parameter is to be considered temperature-independent in the vicinity of the bulk critical temperature and that depends on the density of states near the surface, we propose a simple dependence of using a TDGLM.

Abstract licence: CC BY-NC-SA

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