On the global minimum of the energy-momentum relation for the polaron

Published 29 Jun 2022 in math-ph, cond-mat.other, and math.MP | (2206.14708v2)

Abstract: For the Fr\"ohlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the Fr\"ohlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.

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