On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations

被引：6

作者：

Tzaneteas, T. ^{[1
]}

Sigal, I. M. ^{[2
]}

机构：

[1] Aarhus Univ, Dept Math, Aarhus, Denmark

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2013年 / 8卷 / 05期

基金：

欧洲研究理事会; 加拿大自然科学与工程研究理事会;

关键词：

magnetic vortices; superconductivity; Ginzburg-Landau equations; Abrikosov vortex lattices; bifurcation; SUPERCONDUCTIVITY; BIFURCATIONS; STABILITY; VORTICES;

D O I：

10.1051/mmnp/20138512

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Building on earlier work, we have given in [29] a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and shown that the triangular lattice gives the lowest energy per lattice cell. After [29] was published, we realized that it proves a stronger result than was stated there. This result is recorded in the present paper. The proofs remain the same as in [29], apart from some streamlining.

引用

页码：190 / 205

页数：16

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