The Strong-Coupling Polaron in Electromagnetic Fields

preprint2013arXivOpen access

Abstract

This paper is concerned with Fröhlich polarons subject to external electromagnetic fields in the limit of large electron-phonon coupling. To leading order in the coupling constant, α\sqrtα, the ground state energy is shown to be correctly given by the minimum of the Pekar functional including the electromagnetic fields, provided these fields in the Fröhlich model are scaled properly with αα. As a corollary, the binding of two polarons in strong magnetic fields is obtained.

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