Abstract
We study electron-electron pairing in an one-dimensional model lattice system embedded into a three-dimensional environment. The electron pair potential is lowered by a single, localized lattice deformation. Such a deformation is related to solitons moving along the lattice. Yet the exact form and the time evolution of the lattice excitation are of secondary relevance as the electron pair is stable for sufficiently wide deformations which propagate on molecular time scales, e.g. velocity of sound ≪ electron velocity. The spatial structure of the pair potential and the electron-electron wave function bring a mechanism of pairing different from the exchange of phonons between the electrons and the lattice which leads to Cooper pairs, and different also from the formation of bipolarons.
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