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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.

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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 Paper
Frank, Rupert L.0000-0001-7973-4688
Lieb, Elliott H.0000-0001-5843-3587
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.).
Funding AgencyGrant Number
Issue or Number:21
Classification Code:PACS numbers: 03.65.-w, 71.38.-k, 11.10.-z
Record Number:CaltechAUTHORS:20170501-064924933
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77078
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:59
Last Modified:09 Mar 2020 13:19

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