Published in

Wiley, Annalen der Physik, 5-6(510), p. 437-441, 1998

DOI: 10.1002/andp.199851005-611

Wiley, Annalen der Physik, 5-6(7), p. 437-441, 1998

DOI: 10.1002/(sici)1521-3889(199811)7:5/6<437::aid-andp437>3.0.co;2-y

Links

Tools

Export citation

Search in Google Scholar

A numerical study of wave-function and matrix-element statistics in the Anderson model of localization

Journal article published in 1998 by Ville Uski, Bernhard Mehlig ORCID, Rudolf A. Roemer, R. A. Römer
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Orange circle
Postprint: archiving restricted
Upload
Red circle
Published version: archiving forbidden
Policy details
Data provided by SHERPA/RoMEO

Abstract

We have calculated wave functions and matrix elements of the dipole operator in the two- and three-dimensional Anderson model of localization and have studied their statistical properties in the limit of weak disorder. In particular, we have considered two cases. First, we have studied the fluctuations as an external Aharonov-Bohm flux is varied. Second, we have considered the influence of incipient localization. In both cases, the statistical properties of the eigenfunctions are non-trivial, in that the joint probability distribution function of eigenvalues and eigenvectors does no longer factorize. We report on detailed comparisons with analytical results, obtained within the non-linear sigma model and/or the semiclassical approach. Comment: 5 pages, 4 figures, to appear in Proceedings PILS'98 in Ann. Physik Leibzig 1998