Statistical Mechanics Seminar, Rupert Frank, "A microscopic derivation of Ginzburg-Landau theory of superconductivity"

Wed, Nov 16, 2011, 2:00 pm to 3:30 pm
Fine 224
Abstract: We describe 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. The talk is based on joint work with C. Hainzl, R. Seiringer and J. P. Solovej.