Variational path-integral treatment of a translation invariant many-polaron system

Abstract

A translation invariant N-polaron system is investigated at arbitrary electron-phonon coupling strength, using a variational principle for path integrals for identical particles. An upper bound for the ground state energy is found as a function of the number of spin up and spin down polarons, taking the electron-electron interaction and the Fermi statistics into account. The resulting addition energies and the criteria for multipolaron formation are discussed.

arXiv comment22 pages, 5 figures, 1 table, E-mail addresses: [email protected], [email protected], [email protected]

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Cited by in corpus (3)

• Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
• Virial expansion coefficients in the harmonic approximation
• Bounds on the Minimal Energy of Translation Invariant $N$-Polaron Systems