On the Magnetic Pekar Functional and the Existence of Bipolarons
  First, this paper proves the existence of a minimizer for the Pekar functional including a constant magnetic field and possibly some additional local fields that are energy reducing. Second, the existence of the aforementioned minimizer is used to establish the binding of polarons in the model of Pekar-Tomasevich including external fields. 
Marcel Griesemer, Fabian Hantsch, David Wellig
math-ph math.MP