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

Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901.

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OA https://arxiv.org/abs/1703.04616 [Submitted Version]

DOI
10.1063/1.4996580
Journal Article | Published | English

Scopus indexed
Author
Deuchert, AndreasISTA

Corresponding author has ISTA affiliation

Department
Seiringer Group
Grant
Analysis of quantum many-body systems
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.
Publishing Year
2017
Date Published
2017-08-01
Journal Title
Journal of Mathematical Physics
Publisher
AIP Publishing
Volume
58
Issue
8
Article Number
081901
ISSN
00222488
IST-REx-ID
912

Cite this

Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580
Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580
Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580.
A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017.
Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901.
Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580.
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https://arxiv.org/abs/1703.04616
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