Length scale dependent diffusion in the Anderson model at high temperatures

Autor(en): Steinigeweg, Robin 
Gemmer, Jochen 
Stichwörter: Disorder; Lattice model; LATTICES; LOCALIZATION; Nanoscience & Nanotechnology; Particle diffusion; Physics; Physics, Condensed Matter; Quantum transport; Science & Technology - Other Topics; SYSTEMS; TRANSPORT
Erscheinungsdatum: 2010
Herausgeber: ELSEVIER SCIENCE BV
Journal: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Volumen: 42
Ausgabe: 3
Startseite: 572
Seitenende: 575
Zusammenfassung: 
We investigate a single particle on a three-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 Schrodinger equation. (C) 2009 Elsevier B.V. All rights reserved.
Beschreibung: 
International Conference on Frontiers of Quantum and Mesoscopic Thermodynamics (FQMT `08), Prague, CZECH REPUBLIC, JUL 28-AUG 02, 2008
ISSN: 13869477
DOI: 10.1016/j.physe.2009.06.027

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