Simple theoretical proposal of the dependence of the deGennes extrapolation parameter with the surface temperature of a superconducting sample
Open Access
- 15 May 2019
- journal article
- Published by Instituto Tecnologico Metropolitano (ITM) in TecnoLógicas
- Vol. 22 (45), 1-7
- https://doi.org/10.22430/22565337.1301
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.Keywords
This publication has 19 references indexed in Scilit:
- Influence of the deGennes extrapolation parameter on the resistive state of a superconducting stripPhysics Letters A, 2018
- Electrostatic Control of the Evolution from a Superconducting Phase to an Insulating Phase in UltrathinFilmsPhysical Review Letters, 2011
- Superconducting boundary conditions for mesoscopic circular samplesSuperconductor Science and Technology, 2010
- Increased Tc in Electrolyte‐Gated CupratesAdvanced Materials, 2010
- Superconducting slab in contact with thin superconducting layer at higher critical temperaturePhysica C: Superconductivity and its Applications, 2009
- Indirect Electric Field Doping of thePlanes of the CuprateSuperconductorPhysical Review Letters, 2008
- Effect of the boundary condition on the vortex patterns in mesoscopic three-dimensional superconductors: Disk and spherePhysical Review B, 2007
- One-dimensional modulation of the superconducting boundary condition for thin superconducting filmsPhysical Review B, 2006
- Boundary conditions, dimensionality, topology and size dependence of the superconducting transition temperatureMolecular Physics, 2005
- Numerical Simulation of Vortex Dynamics in Type-II SuperconductorsJournal of Computational Physics, 1996