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Bipolaron and N-Polaron Binding Energies

Frank, Rupert L. and Lieb, Elliott H. and Seiringer, Robert and Thomas, Lawrence E. (2010) Bipolaron and N-Polaron Binding Energies. Physical Review Letters, 104 (21). Art. No. 210402. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20170501-064924933

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Abstract

The binding of polarons, or its absence, is an old and subtle topic. Here we prove two things rigorously. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U=2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multipolaron binding of any kind. Considering the known fact that there is binding for some U>2α, these conclusions are not obvious and their proof has been an open problem for some time.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.104.210402DOIArticle
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.104.210402PublisherArticle
https://arxiv.org/abs/1004.1196arXivDiscussion Paper
Alternate Title:Bi-Polaron and N-Polaron Binding Energies
Additional Information:© 2010 The American Physical Society. Received 7 April 2010; published 27 May 2010. The authors are grateful to Herbert Spohn for making us aware of the problem of proving the absence of binding for large U. Grants from the U.S. National Science Foundation are gratefully acknowledged: PHY-0652854 (E. L. and R. F.), PHY-0845292 (R. S.).
Funders:
Funding AgencyGrant Number
NSFPHY-0652854
NSFPHY-0845292
Classification Code:PACS numbers: 03.65.-w, 71.38.-k, 11.10.-z
Record Number:CaltechAUTHORS:20170501-064924933
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170501-064924933
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77078
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:59
Last Modified:01 May 2017 17:41

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