The BCS Critical Temperature in a Weak External Electric Field via a Linear Two-Body Operator

Frank, Rupert L. and Hainzl, Christian (2018) The BCS Critical Temperature in a Weak External Electric Field via a Linear Two-Body Operator. In: Macroscopic Limits of Quantum Systems. Springer Proceedings in Mathematics & Statistics. No.270. Springer , Cham, pp. 29-62. ISBN 978-3-030-01601-2. https://resolver.caltech.edu/CaltechAUTHORS:20200109-070444248

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Abstract

We study the critical temperature of a superconductive material in a weak external electric potential via a linear approximation of the BCS functional. We reproduce a similar result as in Frank et al. (Commun Math Phys 342(1):189–216, 2016, [5]) using the strategy introduced in Frank et al. (The BCS critical temperature in a weak homogeneous magnetic field, [2]), where we considered the case of an external constant magnetic field.

Item Type:

Book Section

Related URLs:

URL	URL Type	Description
https://doi.org/10.1007/978-3-030-01602-9_2	DOI	Article
https://arxiv.org/abs/1809.08667	arXiv	Discussion Paper
https://rdcu.be/b3RQ3	Publisher	Free ReadCube access

ORCID:

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

Additional Information:

© 2018 by the authors. This paper may be reproduced, in its entirety, for noncommercial purposes. © 2018 Springer Nature Switzerland AG. First Online: 27 October 2018. Dedicated to Herbert Spohn on the occasion of his seventieth birthday. We thank Edwin Langmann who initiated and coauthored our previous work [2] which forms the basis of the present paper. We further thank Robert Seiringer and Jan Philip Solovej for our long-lasting collaboration on BCS theory. Further, partial support by the U.S. National Science Foundation through grant DMS-1363432 (R.L.F.) is acknowledged.

Funders:

Funding Agency	Grant Number
NSF	DMS-1363432

Series Name:

Springer Proceedings in Mathematics & Statistics

Issue or Number:

270

DOI:

10.1007/978-3-030-01602-9_2

Record Number:

CaltechAUTHORS:20200109-070444248

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20200109-070444248

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

100570

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

09 Jan 2020 15:50

Last Modified:

16 Nov 2021 17:54

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