Formation of polaron clusters

Abstract

The formation of spherical polaron clusters is studied within the Fr$\ddot{o}$hlich polaron theory. In a dilute polaron gas, using the non-local statistical approach and the polaron pair interaction obtained within the Pekar strong coupling theory, the homogeneous phase results to be unstable toward the appearance of polaron clusters. The physical conditions of formation for the clusters are determined calculating the critical values of electron-phonon interaction for which bound states in the collective polaron potential develop. Finally the sequence in the filling of the states is found and the stability of the clusters is assessed.

10 pages, 2 tables, 4 figures

References in corpus (5)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Mixed lattice and electronic states in high-temperature superconductors
• Melting of a Wigner Crystal in an Ionic Dielectric
• Polarization catastrophe in the polaronic Wigner crystal
• Normal state properties of an interacting large polaron gas

Cited by in corpus (4)

• Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
• Variational path-integral treatment of a translation invariant many-polaron system
• Intermolecular forces and correlations mediated by a phonon bath
• Ground state features and spectral properties of large polaron liquids from low to high charge densities