Published October 27, 2018
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The BCS Critical Temperature in a Weak External Electric Field via a Linear Two-Body Operator
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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.
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© 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.Attached Files
Published - Frank-Hainzl2018_Chapter_TheBCSCriticalTemperatureInAWe.pdf
Submitted - 1809.08667.pdf
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- Eprint ID
- 100570
- Resolver ID
- CaltechAUTHORS:20200109-070444248
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- https://arxiv.org/abs/1809.08667 (URL)
Funding
- NSF
- DMS-1363432
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2020-01-09Created from EPrint's datestamp field
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2021-11-16Created from EPrint's last_modified field
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- Springer Proceedings in Mathematics & Statistics
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- 270