Microscopic Derivation of Ginzburg-Landau Theory

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftJournal of the American Mathematical Society
Vol/bind25
Udgave nummer3
Sider (fra-til)667-713
Antal sider47
ISSN0894-0347
StatusUdgivet - 2012

ID: 40301670