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

@article{Frank2010BindingSA,
  title={Binding, Stability, and Non-binding of Multi-polaron Systems},
  author={Rupert L. Frank and Elliott H. Lieb and Robert Seiringer and Lawrence E. Thomas},
  journal={arXiv: Strongly Correlated Electrons},
  year={2010}
}
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=2\alpha, where U is the electronic Coulomb repulsion and \alpha is 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… 

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