TY - JOUR
T1 - Bipolaron and N-polaron binding energies
AU - Frank, Rupert L.
AU - Lieb, Elliott H.
AU - Seiringer, Robert
AU - Thomas, Lawrence E.
PY - 2010/5/27
Y1 - 2010/5/27
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.104.210402
DO - 10.1103/PhysRevLett.104.210402
M3 - Article
C2 - 20867079
AN - SCOPUS:77953091796
VL - 104
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 21
M1 - 210402
ER -