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

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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.
22 pages, 5 figures, 1 table, E-mail addresses: jozef.devreese@ua.ac.be, fons.brosens@ua.ac.be, sergei.klimin@ua.ac.be

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