Stability of the Fröhlich bipolaron in two and three dimensions

Abstract

The stability of the Fr\"ohlich bipolaron in the strong-coupling limit is studied in both two and three dimensions using the Feynman-Haken path-integral method and the Landau-Pekar formalism. The ground-state energy, the effective mass, and the size of the bipolaron are obtained, and its stability criteria are predicted. The role of Coulomb correlation is also studied.