Abstract

The groundstate of a bipolaron is obtained within the Feynman path integral formalism. A scaling relation is derived between the free energies of a bipolaron in two and three dimensions. We found that the bipolaron stability region is larger in two than in three dimensions. The relevance of these results is discussed in view of Emin's theory, which describes Bose-Einstein condensation of large bipolarons as a mechanism for high- T c superconductivity.

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