Surface nucleation of superconductivity in 3-dimensions

[摘要] In this paper we study the surface nucleation of superconductivity and estimate the value of the upper critical field H-C3 for superconductors occupying arbitrary bounded smooth domains in R-3. We show that H-C3 similar or equal to kappa/beta (0), the ratio of the Ginzburg-Landau parameter kappa and the first eigenvalue beta (0) of the Schrodinger operator with unit magnetic field on the halfplane. When the applied magnetic field is spacially homogeneous and close to H-C3, a superconducting layer nucleates on a portion of the surface at which the applied field is tangential to the surface. Nucleation under non-homogeneous applied fields is also discussed. (C) 2000 Academic Press.

[发布日期] 2000-12-10

[关键词] Ginzburg-Landau system;superconductivity;nucleation;critical field