The bipolaron in the strong coupling limit

Abstract

The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fröhlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise the electrons form a bound pair. We prove the validity of the Pekar-Tomasevich energy functional in the strong coupling limit, yielding estimates on the coupling parameters for which the binding energy is strictly positive. Under the condition of a strictly positive binding energy we prove the existence of a ground state at fixed total momentum $P$, provided $P$ is not too large.

31 pages

Cited by in corpus (10)

• Geometric methods for nonlinear many-body quantum systems
• Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystals
• Bounds on the Minimal Energy of Translation Invariant $N$-Polaron Systems
• On the Magnetic Pekar Functional and the Existence of Bipolarons
• The ground state energy of the multi-polaron in the strong coupling limit
• Symmetry of bipolaron bound states for small Coulomb repulsion
• Monotonicity of the polaron energy II:General theory of operator monotonicity
• Binding of Polarons and Atoms at Threshold
• The Strong-Coupling Polaron in Electromagnetic Fields
• Ground State of the Polaron Hydrogenic Atom in a Strong Magnetic Field