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Published March 15, 1983 | Published
Journal Article Open

Equality of the density of states in a wide class of tight-binding Lorentzian random models

Abstract

We prove directly the equality of the density of states in a wide class of tight-binding Lorentzian random models, including the Lloyd model, the tan (2παn + θ) model of Grempel, Fishman, and Prange, and a model with potential Σiψ_i tan(2πα_in), where Σiψ_i = 1 and the α_i are rationally independent.

Additional Information

© 1983 American Physical Society. (Received 5 November 1982) It is a pleasure to thank J. Avron and T. Spencer for useful discussions. This research was supported in part by the National Science Foundation (U.S.) under Grant No. MCS-81-20833.

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Published - PhysRevB.27.3859.pdf

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