Bipolaron and N-polaron binding energies

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

Research output: Contribution to journalArticle

14 Scopus citations

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 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
Volume104
Issue number21
DOIs
StatePublished - May 27 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Frank, R. L., Lieb, E. H., Seiringer, R., & Thomas, L. E. (2010). Bipolaron and N-polaron binding energies. Physical review letters, 104(21), [210402]. https://doi.org/10.1103/PhysRevLett.104.210402