Microscopic Derivation of the Ginzburg-Landau Model
Mathematical Physics
2015-09-28 v2 Quantum Gases
Superconductivity
math.MP
Abstract
We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.
Keywords
Cite
@article{arxiv.1209.1080,
title = {Microscopic Derivation of the Ginzburg-Landau Model},
author = {Rupert L. Frank and Christian Hainzl and Robert Seiringer and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1209.1080},
year = {2015}
}
Comments
Typo in Eq. (14) corrected, references updated