Frank, R. L. and Hainzi, C. and Seiringer, R. and Solovej, J. P. (2015) Microscopic Derivation of the Ginzburg-Landau Model. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170505-112911639
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Abstract
We present a summary of our recent rigorous derivation of the celebrated Ginzburg–Landau (GL) theory, starting from the microscopic Bardeen–Cooper–Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||
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| Additional Information: | © 2012 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Last revised 25 Sep 2015 (this version, v2) Financial support via U.S. NSF grant PHY-1068285 (R.F.), NSERC (R.S.) and a grant from the Danish council for independent research (J.P.S.) is gratefully acknowledged. | ||||||||
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| Record Number: | CaltechAUTHORS:20170505-112911639 | ||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20170505-112911639 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 77225 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Ruth Sustaita | ||||||||
| Deposited On: | 05 May 2017 19:19 | ||||||||
| Last Modified: | 05 May 2017 19:19 |
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