Simple theoretical proposal of the dependence of the deGennes extrapolation parameter with the surface temperature of a superconducting sample
Journal Title: TecnoLógicas - Year 2019, Vol 22, Issue 45
Abstract
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.
Authors and Affiliations
José José Barba-Ortega, Jesús D. González, Miryam Rincón-Joya
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