Length scale dependent diffusion in the Anderson model at high temperatures
arXiv:0904.2677 · doi:10.1016/j.physe.2009.06.027
Abstract
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.
6 pages, 4 figures, accepted for publication in Physica E
References in corpus (6)
- Transport Length Scales in Disordered Graphene-based Materials: Strong Localization Regimes and Dimensionality Effects
- Occurrence of exponential relaxation in closed quantum systems
- Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
- Microscopic Quantum Mechanical Foundation of Fourier's Law
- Transition from diffusive to ballistic dynamics for a class of finite quantum models
- Symplectic integrators for classical spin systems