Energy level statistics at the metal - insulator tran - sition in the Anderson model of localization with anisotropic hopping
نویسندگان
چکیده
Recently, a metal-insulator transition (MIT) was found in the anisotropic Ander-son model of localization by transfer-matrix methods (TMM) [1, 2, 3]. This MIT has been also investigated by multifractal analysis (MFA) [4] and the same critical disorders Wc have been obtained within the accuracy of the data. We now employ energy level statistics (ELS) to further characterize the MIT. We find a crossover of the nearest-neighbor level spacing distribution P (s) from GOE statistics at small disorder indicating metallic behavior to the Poisson distribution at large disorder characteristic for localized states. An analysis of the system size dependence of the spectral rigidity ∆3(L) confirms the values of Wc found in Ref. [3, 4].
منابع مشابه
Numerische Simulation Auf Massiv Parallelen Rechnern Energy Level Statistics at the Metal-insulator Transition in the Anderson Model of Localization with Anisotropic Hopping Preprint-reihe Des Chemnitzer Sfb 393
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