2010/04/07 by Rupert L. Frank, Elliott H. Lieb, Élliott H. Lieb +2 · 2 citations
Mathematics · Physics and Astronomy · #Bipolaron #Cold Atom Physics and Bose-Einstein Condensates #Electron #Nuclear physics #Physics #Physics of Superconductivity and Magnetism #Polaron #Quantum, superfluid, helium dynamics #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.104.210402
published as Phys. Rev. Lett. 104, 210402 (2010) · 4 pages
arxiv created 2010/04/07 · openalex publication_date 2010/05/27 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.