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Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties |
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| Authors: | Hans De Raedt Pedro de Vries |
| Institution: | (1) IBM Research Division, Zurich Research Laboratory, Rüschlikon, Switzerland;(2) Physics Department, University of Antwerp, Universiteitsplein 1, B-2610 Wilrijk, Belgium;(3) Natuurkundig Laboratorium, University of Amsterdam, Valckenierstraat 65, NL-1018 XE Amsterdam, The Netherlands |
| Abstract: | Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schrödinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found. |
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