This article is cited in 2 papers

Correlated Lloyd model: Exact solution

G. G. Kozlov

Fock Institute of Physics, St. Petersburg State University, St. Petersburg, Russia

Abstract: We describe an exactly solvable model of a disordered system that is a generalized Lloyd model{;} it differs from the classical model because the random potential is not a $\delta$-correlated random process. We show that the exact average Green's function in this case is independent of the correlation radius of the random potential and, as in the classical Lloyd model, is a crystal Green's function whose energy argument acquires an imaginary part dependent on the disorder degree.

Keywords: Lloyd model, exactly solvable model, correlated disordered system, density of states, average Green's function.

Received: 17.03.2014

DOI: 10.4213/tmf8680

 English version: Theoretical and Mathematical Physics, 2014, 181:2, 1396–1404

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