Bipolaron and N-polaron binding energies
Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).
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Frank, Rupert L;
Lieb, Élliott H;
Seiringer, RobertISTA 
;
Thomas, Lawrence E
;
Thomas, Lawrence EAbstract
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.
Publishing Year
Date Published
2010-01-01
Journal Title
Physical Review Letters
Volume
104
Issue
21
IST-REx-ID
Cite this
Frank R, Lieb É, Seiringer R, Thomas L. Bipolaron and N-polaron binding energies. Physical Review Letters. 2010;104(21). doi:10.1103/PhysRevLett.104.210402
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2010). Bipolaron and N-polaron binding energies. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.104.210402
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters. American Physical Society, 2010. https://doi.org/10.1103/PhysRevLett.104.210402.
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Bipolaron and N-polaron binding energies,” Physical Review Letters, vol. 104, no. 21. American Physical Society, 2010.
Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).
Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters, vol. 104, no. 21, American Physical Society, 2010, doi:10.1103/PhysRevLett.104.210402.
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