Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-11-13
Proceedings of PILS'98: Ann. Phys. (Leipzig) 7, 452-456 (1998)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 3 eps figures
Scientific paper
10.1002/(SICI)1521-3889(199811)7
Recently, a metal-insulator transition (MIT) was found in the anisotropic Anderson model of localization by transfer-matrix methods (TMM). This MIT has been also investigated by multifractal analysis (MFA) and the same critical disorders $W_c$ 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 $\Delta_3(L)$ confirms the values of $W_c$ from TMM and MFA.
Milde Frank
R{ö}mer Rudolf A.
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