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Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field
- Source :
- Andreas Deuchert
- Publication Year :
- 2023
- Publisher :
- Mathematical Sciences Publishers, 2023.
-
Abstract
- 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.<br />91 pages, 1 figure
- Subjects :
- Condensed Matter::Quantum Gases
Mathematics - Analysis of PDEs
Condensed Matter::Superconductivity
FOS: Mathematics
FOS: Physical sciences
General Earth and Planetary Sciences
Mathematical Physics (math-ph)
35A15, 82D50, 82D55, 35Q56
Mathematical Physics
Analysis of PDEs (math.AP)
General Environmental Science
Subjects
Details
- ISSN :
- 26901005 and 26900998
- Volume :
- 4
- Database :
- OpenAIRE
- Journal :
- Probability and Mathematical Physics
- Accession number :
- edsair.doi.dedup.....8379911e3797407e4a7a7be2508b6bbc