Length scale dependent diffusion in the Anderson model at high temperatures

Details Length scale dependent diffusion in the Anderson model at high temperatures Length scale dependent diffusion in the Anderson model at high temperatures

2009-04-17

arxiv.org/abs/0904.2677v1

Physica E 42, 572 (2010)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, accepted for publication in Physica E

Scientific paper

10.1016/j.physe.2009.06.027

We investigate a single particle on a 3-dimensional, cubic lattice with a random on-site potential (3D Anderson model). We concretely address the question whether or not the dynamics of the particle is in full accord with the diffusion equation. Our approach is based on the time-convolutionless (TCL) projection operator technique and allows for a detailed investigation of this question at high temperatures. It turns out that diffusive dynamics is to be expected for a rather short range of wavelengths, even if the amount of disorder is tuned to maximize this range. Our results are partially counterchecked by the numerical solution of the full time-dependent Schroedinger equation.

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