Published September 25, 2015
| Submitted
Discussion Paper
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Microscopic Derivation of the Ginzburg-Landau Model
Chicago
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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.
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.Attached Files
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Additional details
- Eprint ID
- 77225
- Resolver ID
- CaltechAUTHORS:20170505-112911639
- NSF
- PHY-1068285
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Danish Council for Independent Research
- Created
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2017-05-05Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field