Bipolaron and N-polaron binding energies

Rupert L. Frank, Elliott H. Lieb, Robert Seiringer, Lawrence E. Thomas

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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.

Original languageEnglish (US)
Article number210402
JournalPhysical review letters
Issue number21
StatePublished - May 27 2010

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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