Theoretical and Mathematical Physics

, Volume 181, Issue 2, pp 1396–1404 | Cite as

Correlated Lloyd model: Exact solution



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 δ-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.


Lloyd model exactly solvable model correlated disordered system density of states average Green’s function 


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© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Fock Institute of PhysicsSt. Petersburg State UniversitySt. PetersburgRussia

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