Modul:   MAT675  PDE and Mathematical Physics

Microscopic Derivation of Ginzburg–Landau Theory and the BCS Critical Temperature Shift in a Weak Homogeneous Magnetic Field

Talk by Dr. Andreas Deuchert

Date: 04.11.21  Time: 18.00 - 19.30  Room: Y27H35/36

Starting from the Bardeen–Cooper–Schrieffer (BCS) free energy functional, we derive the Ginzburg–Landau functional for the case of a weak homogeneous magnetic field. We also provide an asymptotic formula for the BCS critical temperature as a function of the magnetic field. This extends two previous works of Frank, Hainzl, Seiringer and Solovej to the case of external magnetic fields with non-vanishing magnetic flux through the unit cell. The result was obtained in joint work with Christian Hainzl and Marcel Schaub.