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arXiv · 1004.1196

Bi-Polaron and N-Polaron Binding Energies

Rupert L. Frank·Elliott H. Lieb·Robert Seiringer·Lawrence E. Thomas
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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 αis the polaron coupling constant. Second, if U is large enough, there is no multi-polaron 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.

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Rupert L. Frank, Elliott H. Lieb, Robert Seiringer, Lawrence E. Thomas. 2010-04-07. Bi-Polaron and N-Polaron Binding Energies. https://doi.org/10.1103/physrevlett.104.210402

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