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:

URL	URL Type	Description
https://arxiv.org/abs/1706.05686	arXiv	Discussion 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 Agency	Grant Number
NSF	DMS-1363432
Vetenskapsrådet	2016-05167

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CaltechAUTHORS:20180604-112611120

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http://resolver.caltech.edu/CaltechAUTHORS:20180604-112611120

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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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