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Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

Frank, Rupert L. and Hainzl, Christian and Seiringer, Robert and Solovej, Jan Philip (2013) Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. In: Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications. No.227. Springer , Basel, pp. 57-88. ISBN 978-3-0348-0531-5. https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909

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Abstract

In a recent paper [7] we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)the ory, starting from the microscopic Bardeen- Cooper-Schrieffer (BCS)mo del. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a δ-potential.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/978-3-0348-0531-5_3DOIArticle
http://link.springer.com/chapter/10.1007%2F978-3-0348-0531-5_3PublisherArticle
https://arxiv.org/abs/1103.1866arXivDiscussion Paper
http://rdcu.be/rIAPPublisherFree ReadCube access
ORCID:
AuthorORCID
Frank, Rupert L.0000-0001-7973-4688
Additional Information:© 2013 Springer Basel. First Online: 12 December 2012. Part of this work was carried out at the Erwin Schrödinger Institute for Mathematical Physics in Vienna, Austria, and the authors are grateful for the support and hospitality during their visit. Financial support via U.S. NSF grants DMS-0800906 (C.H.) and PHY-0845292 (R.S.) and a grant from the Danish council for independent research (J.P.S.) is gratefully acknowledged.
Funders:
Funding AgencyGrant Number
NSFDMS-0800906
NSFPHY-0845292
Danish Council for Independent ResearchUNSPECIFIED
Subject Keywords:Ginzburg–Landau theory; BCS theory; semiclassical analysis; superfluidity; superconductivity
Series Name:Operator Theory: Advances and Applications
Issue or Number:227
Classification Code:Mathematics Subject Classification (2010). Primary 82D50; Secondary 81Q20, 35Q56
DOI:10.1007/978-3-0348-0531-5_3
Record Number:CaltechAUTHORS:20170501-083839909
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909
Official Citation:Frank R.L., Hainzl C., Seiringer R., Solovej J.P. (2013) Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction. In: Janas J., Kurasov P., Laptev A., Naboko S. (eds) Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications, vol 227. Birkhäuser, Basel
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77091
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:17
Last Modified:15 Nov 2021 17:28

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