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The External Field Dependence of the BCS Critical Temperature

Frank, Rupert L. and Hainzl, Christian and Seiringer, Robert and Solovej, Jan Philip (2016) The External Field Dependence of the BCS Critical Temperature. Communications in Mathematical Physics, 342 (1). pp. 189-216. ISSN 0010-3616. http://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308

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Abstract

We consider the Bardeen–Cooper–Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg–Landau equation.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s00220-015-2526-2DOIArticle
http://link.springer.com/article/10.1007%2Fs00220-015-2526-2PublisherArticle
http://arxiv.org/abs/1410.2352arXivDiscussion Paper
http://rdcu.be/rF4YPublisherFree ReadCube access
Additional Information:© 2015 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 1 November 2014; Accepted: 15 September 2015; Published online: 12 December 2015. The authors are grateful to I. M. Sigal for useful discussions. Financial support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), from the Danish council for independent research and from ERC Advanced Grant 321029 (J.P.S.) is acknowledged.
Funders:
Funding AgencyGrant Number
NSFPHY-1347399
NSFDMS-1363432
Danish Council for Independent ResearchUNSPECIFIED
European Research Council (ERC)321029
Record Number:CaltechAUTHORS:20160303-112827308
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308
Official Citation:Frank, R.L., Hainzl, C., Seiringer, R. et al. Commun. Math. Phys. (2016) 342: 189. doi:10.1007/s00220-015-2526-2
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65019
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Mar 2016 19:45
Last Modified:28 Apr 2017 17:49

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