title: Numerical study of eigenvector statistics for random banded matrices.
abstract: The statistics of eigenvector amplitudes near the band center in random-banded-matrix ensembles is studied numerically. The nonlinear sigma model provides a rigorous description of the statistics in these ensembles. We are interested in the extension of the predictions of the sigma model approach to complex quantum systems. We study the validity range of the perturbation theory beginning from the well-known formulas in random matrix theory.
authors.affiliation: Department of Physical Resource Theory, Chalmers University of Technology, SE-41296 Göteborg, Sweden. frtvu@fy.chalmers.se
authors.forename: Ville
authors.initials: V
authors.lastname: Uski
authors.forename: Rudolf A
authors.initials: RA
authors.lastname: Römer
authors.forename: Michael
authors.initials: M
authors.lastname: Schreiber