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. doi:10.1007/s00220-015-2526-2. https://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308

	PDF - Published Version See Usage Policy. 486kB
	PDF - Submitted Version See Usage Policy. 352kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308

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:

URL	URL Type	Description
http://dx.doi.org/10.1007/s00220-015-2526-2	DOI	Article
http://link.springer.com/article/10.1007%2Fs00220-015-2526-2	Publisher	Article
http://arxiv.org/abs/1410.2352	arXiv	Discussion Paper
http://rdcu.be/rF4Y	Publisher	Free ReadCube access

ORCID:

Author	ORCID
Frank, Rupert L.	0000-0001-7973-4688

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 Agency	Grant Number
NSF	PHY-1347399
NSF	DMS-1363432
Danish Council for Independent Research	UNSPECIFIED
European Research Council (ERC)	321029

Issue or Number:

DOI:

10.1007/s00220-015-2526-2

Record Number:

CaltechAUTHORS:20160303-112827308

Persistent URL:

https://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:

10 Nov 2021 23:38

Repository Staff Only: item control page