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DY: Fachverband Dynamik und Statistische Physik

DY 6: Quantum Dynamics, Decoherence, and Quantum Information I

DY 6.5: Talk

Monday, March 14, 2011, 15:00–15:15, ZEU 255

Transition from hopping to band transport in topologically disordered one-particle systems — •Hendrik Niemeyer and Jochen Gemmer — University of Osnabrueck, Physics Departement

As a model system for amorphous materials we investigate a one-particle tight binding model with distance dependent hopping rates whose sites are randomly distributed according to a uniform probability distribution. Diffusion constants and mean free paths for this model can be estimated by integrating over the current autocorrelation function and by mapping the system either onto a linearized Boltzmann equation or onto a discrete diffusion equation. A transition from hopping (small mean free paths and diffusion constants coinciding with a classical random walk) to band transport can be found for increasing hopping ranges.