A microscopic derivation of Ginzburg-Landau theory

Series
Math Physics Seminar
Time
Tuesday, November 1, 2011 - 11:05am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Rupert Frank – Dept. of Math, Princeton University
Organizer
Michael Loss
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.