Seminarium KMMF "Teoria Dwoistości"
sala 2.23, ul. Pasteura 5
2022-11-03 (10:15) 
Andreas Deuchert (University of Zurich)
Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field
Starting from the Bardeen-Cooper-Schrieffer (BCS) free energy functional, we derive the Ginzburg-Landau functional in the presence 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 the previous works arXiv:1102.4001 and arXiv:1410.2352 of Frank, Hainzl, Seiringer and Solovej to the case of external magnetic fields with non-vanishing magnetic flux through the unit cell. This is joint work with Christian Hainzl and Marcel Maier (born Schaub).