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The Correlated Lloyd model: exact solution

Abstract

Exactly solvable model of disordered system representing the generalized Lloyd model with correlated random potential is described. It is shown, that for the model under consideration, the averaged Green's function does not depend on random potential correlation radius and, similarly to the classical Lloyd model, has the form of Green's function of a crystal system, with energy argument supplied by an imaginary part which depends on degree of disorder

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