Multi-component Ginzburg-Landau theory: microscopic derivation and examples

DOI10.1007/s00023-016-0473-xzbMath1351.82117arXiv1504.07306OpenAlexW2307319395MaRDI QIDQ312215

Marius Lemm, Rupert L. Frank

Publication date: 14 September 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07306

zbMATH Keywords

Ginzburg-Landau theoryradial potentials\(d\)-wave order parametersmulti-component systems

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Statistical mechanics of superfluids (82D50) Ginzburg-Landau equations (35Q56)

Related Items (9)

A lower bound for the BCS functional with boundary conditions at infinity ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in general external fields ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field ⋮ Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations ⋮ Effects of corners in surface superconductivity ⋮ Persistence of translational symmetry in the BCS model with radial pair interaction ⋮ Condensation of fermion pairs in a domain ⋮ The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties ⋮ Differential equations of quantum mechanics

Uses Software

• MathOverflow

Cites Work

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