NONLINEAR SURFACE SUPERCONDUCTIVITY IN THE LARGE κ LIMIT

Author:

ALMOG Y.1

Affiliation:

1. Faculty of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel

Abstract

The Ginzburg–Landau model for superconductivity is considered in two dimensions. We show, for smooth bounded domains, that the superconductivity order parameter decays exponentially fast away from the boundary as the Ginzburg–Landau parameter κ tends to infinity. We prove this result for applied magnetic fields satisfying hex-κ≫ log κ/κ, and therefore, improve a recent result of Pan [16].

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The density of superconductivity in the bulk regime;Indiana University Mathematics Journal;2018

2. Universal and shape dependent features of surface superconductivity;The European Physical Journal B;2017-11

3. Effects of Boundary Curvature on Surface Superconductivity;Letters in Mathematical Physics;2016-02-12

4. Boundary Behavior of the Ginzburg–Landau Order Parameter in the Surface Superconductivity Regime;Archive for Rational Mechanics and Analysis;2015-09-15

5. On the Ginzburg–Landau Functional in the Surface Superconductivity Regime;Communications in Mathematical Physics;2014-07-03

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