A model with Holstein-like electron-phonon coupling is studied in the limit
of adiabatic phonons. The phonon distribution is anharmonic with two degenerate
maxima. This model can be related to fermions in a correlated binary alloy and
describes microscopic phase separation. We discuss the weak and strong
electron-phonon coupling limit and present a qualitative phase diagram. In
terms of the phononic displacements it consists of a homogeneous, an
alternating, and a disordered phase. There is a first order phase transition
between the homogeneous and the alternating phase, and second order phase
transition between the alternating and the disordered phase. The opening of a
gap inside the disordered phase is treated by a dynamical mean-field theory.Comment: 11 pages, 3 figures, revised and published versio
