A lower bound for the BCS functional with boundary conditions at infinity Journal Article


Author(s): Deuchert, Andreas
Article Title: A lower bound for the BCS functional with boundary conditions at infinity
Affiliation IST Austria
Abstract: We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.
Keywords: Mathematical Physics; BCS theory; Mathematical quantum mechanics
Journal Title: Journal of Mathematical Physics
Volume: 58
Issue 8
ISSN: 1089-7658
Publisher: AIP  
Date Published: 2017-08-01
Start Page: Article number: 081901
Sponsor: European Research Council (ERC), grant agreement No 694227
URL:
DOI: 10.1063/1.4996580
Open access: yes (repository)
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