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The BCS critical temperature in a weak homogeneous magnetic field

Frank, Rupert L. and Hainzl, Christian and Langmann, Edwin (2017) The BCS critical temperature in a weak homogeneous magnetic field. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180604-112611120

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Abstract

We show that, within a linear approximation of BCS theory, a weak homogeneous magnetic field lowers the critical temperature by an explicit constant times the field strength, up to higher order terms. This provides a rigorous derivation and generalization of results obtained in the physics literature from WHH theory of the upper critical magnetic field. A new ingredient in our proof is a rigorous phase approximation to control the effects of the magnetic field.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1706.05686arXivDiscussion Paper
Additional Information:© 2017 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. We are very grateful to Michael Loss, whose ideas played a crucial role in finding the proof of Lemma 29. E. L. would like to thank Yaron Kadem for helpful discussions. Partial support by the U.S. National Science Foundation through grant DMS-1363432 (R.L.F.) and by Vetenskapsrådet through grant 2016-05167 (E.L.) is acknowledged.
Funders:
Funding AgencyGrant Number
NSFDMS-1363432
Vetenskapsrådet2016-05167
Record Number:CaltechAUTHORS:20180604-112611120
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180604-112611120
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86788
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Jun 2018 18:42
Last Modified:04 Jun 2018 18:42

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