Published 2019
| Submitted
Journal Article
Open
The BCS critical temperature in a weak homogeneous magnetic field
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 fromWHH 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.
Additional Information
© 2019 European Mathematical Society. Received June 18, 2017. 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. The authors would also like to thank an anonymous referee for carefully reading the paper and several remarks that helped us to improve the paper. 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.Attached Files
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Additional details
- Eprint ID
- 86788
- DOI
- 10.4171/JST/270
- Resolver ID
- CaltechAUTHORS:20180604-112611120
- DMS-1363432
- NSF
- 2016-05167
- Vetenskapsrådet
- Created
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2018-06-04Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field