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arXiv · 1010.0737

Binding, Stability, and Non-binding of Multi-polaron Systems

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. After defining the model we state some recent theorems of ours. 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. We also discuss the Pekar-Tomasevich approximation to the ground state energy, which is valid for large α. Finally, we derive exact results, not reported before, about the one-dimensional toy model introduced by E. P. Gross.

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Rupert L. Frank, Elliott H. Lieb, Robert Seiringer, Lawrence E. Thomas. 2010-10-13. Binding, Stability, and Non-binding of Multi-polaron Systems. https://doi.org/10.1142/9789814350365_0002

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