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).
Meeting ID: 814 591 7621 Passcode: 147983