Abstract

The question of the existence of a cutoff in the density of electronic states (DOS) in a disordered system is investigated with the use of the path-integral formulation of Edwards and Gulyaev. Working within the first-cumulant approximation for the average electron propagator, we have generalized the results of a recent paper to a wide class of autocorrelation functions describing the effective random potential. It is shown that, in general, there is a cutoff in the DOS for three-dimensional systems and no cutoff in one-dimensional disordered systems.

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