On the Magnetic Pekar Functional and the Existence of Bipolarons

TL;DR

This paper proves the existence of minimizers for the magnetic Pekar functional and uses this to demonstrate polaron binding in models with external fields, advancing understanding of magnetic effects in polaron theory.

Contribution

It establishes the existence of minimizers for the magnetic Pekar functional and applies this to show polaron binding under external magnetic and local fields.

Findings

Existence of minimizers for the magnetic Pekar functional.

Polaron binding is confirmed in models with external magnetic fields.

Results extend polaron theory to include magnetic effects.

Abstract

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.