https://doi.org/10.1140/epjb/e20020125
From ballistic motion to localization: a phase space analysis
1
Institut für Physik, Universität Augsburg,
Universitätsstrasse 1, 86135 Augsburg, Germany
2
Institut de Physique et Chimie des Matériaux de Strasbourg (UMR 7504 (CNRS-ULP)) ,
23 rue du Loess, 67037 Strasbourg Cedex, France
Corresponding author: a ingold@physik.uni-augsburg.de
Received:
5
March
2002
Published online: 15 May 2002
We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates.
PACS: 05.60.Gg – Quantum transport / 71.23.An – Theories and models; localized states / 05.45.Pq – Numerical simulations of chaotic models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
