MICROSCOPIC DERIVATION OF THE GINZBURG-LANDAU MODEL [chapter]

R. L. FRANK, C. HAINZL, R. SEIRINGER, J. P. SOLOVEJ
2013 XVIIth International Congress on Mathematical Physics  
We present a summary of our recent 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.
doi:10.1142/9789814449243_0060 fatcat:u6aeqey7vnctxm5yotacktkmpq