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Microscopic Derivation of the Ginzburg-Landau Model

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)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1209.1080arXivDiscussion paper
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.
Funders:
Funding AgencyGrant Number
NSFPHY-1068285
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Danish Council for Independent ResearchUNSPECIFIED
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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