Density of states of disordered systems with a finite correlation length

Details Density of states of disordered systems with a finite correlation length Density of states of disordered systems with a finite correlation length

2005-10-23

arxiv.org/abs/cond-mat/0510617v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevB.73.125115

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder potential does not need to be smooth and is not limited to the perturbative regime, where the disorder is small. The DOS is expressed in terms of a convolution of the disorder distribution function and the non-disordered DOS. We apply this formalism to evaluate the broadening of Landau levels and to calculate the specific heat in disordered systems.

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