Statistics of resonances and delay times: a criterion for metal-insulator transitions.
We study the distributions of the normalized resonance widths P(Gamma;) and delay times P(tau;) for 3D disordered tight-binding systems at the metal-insulator transition (MIT) by attaching leads to the boundary sites. Both distributions are scale invariant, independent of the microscopic details of the random potential and the number of channels. Theoretical considerations suggest the existence of a scaling theory for P(Gamma;) in finite samples, and numerical calculations confirm this hypothesis. Based on this, we give a new criterion for the determination and analysis of the MIT.
Kottos
Tsampikos
T
Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstrasse 10, D-37073 Göttingen, Germany.
Weiss
Matthias
M