Published February 2016
| Submitted + Published
Journal Article
Open
The External Field Dependence of the BCS Critical Temperature
Chicago
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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.
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.Attached Files
Published - art_10.1007_s00220-015-2526-2.pdf
Submitted - 1410.2352v1.pdf
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Additional details
- Eprint ID
- 65019
- Resolver ID
- CaltechAUTHORS:20160303-112827308
- NSF
- PHY-1347399
- NSF
- DMS-1363432
- Danish Council for Independent Research
- European Research Council (ERC)
- 321029
- Created
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2016-03-03Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field