Statistics of Resonances and Delay Times: A Criterion for Metal-Insulator Transitions

Tsampikos Kottos and Matthias Weiss
Phys. Rev. Lett. 89, 056401 – Published 12 July 2002

Abstract

We study the distributions of the normalized resonance widths P(Γ˜) and delay times P(τ˜) 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(Γ˜) 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.

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  • Received 4 September 2001

DOI:https://doi.org/10.1103/PhysRevLett.89.056401

©2002 American Physical Society

Authors & Affiliations

Tsampikos Kottos1 and Matthias Weiss2

  • 1Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstraße 10, D-37073 Göttingen, Germany
  • 2EMBL, Meyerhofstraße 1, D-69117 Heidelberg, Germany

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Issue

Vol. 89, Iss. 5 — 29 July 2002

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