Existence of an incommensurate ground state of interacting spinless fermions in infinite dimensions

We focus on the ground state phase diagram of a system of spinless fermions with repulsion on a hypercubic lattice in the limit of infinite dimensions. It occurs spontaneous symmetry breaking into a charge density wave (CDW). Using an ansatz for the order parameter which includes the homogeneous, the AB- and a large class of incommensurate phases we are able to calculate the phase diagram.