Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Quantum dynamics, decoherence and quantum information

DY 8.6: Vortrag

Montag, 26. März 2007, 17:30–17:45, H2

Transport in the Anderson model — •Robin Steinigeweg and Jochen Gemmer — Physics Department, University of Osnabrück, Barbarastr. 7, 49069 Osnabrück, Germany

We investigate a model of non-interacting spinless fermions on a finite lattice with a disordered on-site potential or, shortly, the Anderson model. It is well-known that strong disorder causes localized eigenstates such that the model behaves like an insulator. Inversely, weak disorder causes extended eigenstates which are Bloch waves in the the case of no disorder. Between these extreme cases the model is believed to exhibit diffusive dynamics. We examine the intermediate case in more detail and especially address the conditions under which diffusion occurs. Our approach uses projection operator techniques (TCL) and the Hilbertspace Average Method (HAM). These methods have been already applied successfully to another model which turns out to be very similar to the Anderson model in the intermediate case.