Microscopic Derivation of Ginzburg-Landau Theory

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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.
Original languageEnglish
JournalJournal of the American Mathematical Society
Volume25
Issue number3
Pages (from-to)667-713
Number of pages47
ISSN0894-0347
Publication statusPublished - 2012

ID: 40301670