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Formation of large bipolarons.

An electron in a polar crystal lattice interacting with the longitudinal optical phonon modes is called a polaron. Since the effective electron-phonon interaction is attractive, it enhances the electron’s effective mass. If a second electron in the phonon bath is taken into account, its interaction with the phonons might overcome the electron-electron repulsion. If so, the pair of electrons forms a stable bound state, called bipolaron. Due to the competition between the opposite forces the bipolaron exists only in a small region of electron-phonon coupling constant and electron-electron repulsion. It is the aim to contribute to the investigation of this stability region.