A Caltech Library Service

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.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


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:
URLURL TypeDescription Paper ReadCube access
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.
Funding AgencyGrant Number
Series Name:Springer Proceedings in Mathematics & Statistics
Issue or Number:270
Record Number:CaltechAUTHORS:20200109-070444248
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100570
Deposited By: Tony Diaz
Deposited On:09 Jan 2020 15:50
Last Modified:16 Nov 2021 17:54

Repository Staff Only: item control page