Published May 28, 2010
| Version Published + Submitted
Journal Article
Open
Bipolaron and N-Polaron Binding Energies
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1.
Princeton University
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2.
University of Virginia
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.
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.).Attached Files
Published - PhysRevLett.104.210402.pdf
Submitted - 1004.1196.pdf
Files
1004.1196.pdf
Additional details
Additional titles
- Alternative title
- Bi-Polaron and N-Polaron Binding Energies
Identifiers
- Eprint ID
- 77078
- Resolver ID
- CaltechAUTHORS:20170501-064924933
Related works
- Describes
- https://arxiv.org/abs/1004.1196 (URL)
Funding
- NSF
- PHY-0652854
- NSF
- PHY-0845292
Dates
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department