Microscopic Derivation of Ginzburg-Landau Theory
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Microscopic Derivation of Ginzburg-Landau Theory. / Frank, Rupert; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip.
I: Journal of the American Mathematical Society, Bind 25, Nr. 3, 2012, s. 667-713.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Microscopic Derivation of Ginzburg-Landau Theory
AU - Frank, Rupert
AU - Hainzl, Christian
AU - Seiringer, Robert
AU - Solovej, Jan Philip
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
M3 - Journal article
VL - 25
SP - 667
EP - 713
JO - Journal of the American Mathematical Society
JF - Journal of the American Mathematical Society
SN - 0894-0347
IS - 3
ER -
ID: 40301670