Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields

We consider the Bardeen–Cooper–Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg–Landau functional. We also provide an asymptotic formula for the BCS critical temperature as a function of the external fields. This extends...

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Autores principales: Deuchert, Andreas, Hainzl, Christian, Maier, Marcel Oliver
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10387038/
https://www.ncbi.nlm.nih.gov/pubmed/37525689
http://dx.doi.org/10.1007/s00526-023-02539-x
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author Deuchert, Andreas
Hainzl, Christian
Maier, Marcel Oliver
author_facet Deuchert, Andreas
Hainzl, Christian
Maier, Marcel Oliver
author_sort Deuchert, Andreas
collection PubMed
description We consider the Bardeen–Cooper–Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg–Landau functional. We also provide an asymptotic formula for the BCS critical temperature as a function of the external fields. This extends our previous results in Deuchert et al. (Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field, PMP 4(1), 1–89 (2023)) for the constant magnetic field to general magnetic fields with a nonzero magnetic flux through the unit cell.
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spelling pubmed-103870382023-07-31 Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields Deuchert, Andreas Hainzl, Christian Maier, Marcel Oliver Calc Var Partial Differ Equ Article We consider the Bardeen–Cooper–Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg–Landau functional. We also provide an asymptotic formula for the BCS critical temperature as a function of the external fields. This extends our previous results in Deuchert et al. (Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field, PMP 4(1), 1–89 (2023)) for the constant magnetic field to general magnetic fields with a nonzero magnetic flux through the unit cell. Springer Berlin Heidelberg 2023-07-29 2023 /pmc/articles/PMC10387038/ /pubmed/37525689 http://dx.doi.org/10.1007/s00526-023-02539-x Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Deuchert, Andreas
Hainzl, Christian
Maier, Marcel Oliver
Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title_full Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title_fullStr Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title_full_unstemmed Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title_short Microscopic derivation of Ginzburg–Landau theory and the BCS critical temperature shift in general external fields
title_sort microscopic derivation of ginzburg–landau theory and the bcs critical temperature shift in general external fields
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10387038/
https://www.ncbi.nlm.nih.gov/pubmed/37525689
http://dx.doi.org/10.1007/s00526-023-02539-x
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