Anderson Localization for the Holstein Model

A one-dimensional system of electrons on a lattice, interacting with a periodic potential, with period incommensurate with the lattice spacing and satisfying a Diophantine condition, is considered in the case of strong interaction. The Schwinger functions are computed and their asymptotic behaviour is studied, proving Anderson localization. The decay of the Schwinger functions is shown to depend critically on the value of the chemical potential. Received: 20 October 1999 / Accepted: 18 May 2000