Microscopic derivation of Ginzburg-Landau theory Journal Article


Author(s): Frank, Rupert L; Hainzl, Christian; Seiringer, Robert; Solovej, Jan P
Article Title: Microscopic derivation of Ginzburg-Landau theory
Affiliation
Abstract: We give the first 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.
Journal Title: Journal of the American Mathematical Society
Volume: 25
Issue 3
ISSN: 1088-6834
Publisher: American Mathematical Society  
Date Published: 2012-01-01
Start Page: 667
End Page: 713
URL:
DOI: 10.1090/S0894-0347-2012-00735-8
Open access: yes (OA journal)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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