Phys. Rev. Lett. 89, 056401 (2002) [4 pages]Statistics of Resonances and Delay Times: A Criterion for Metal-Insulator TransitionsReceived 4 September 2001; published 12 July 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.056401
DOI:
10.1103/PhysRevLett.89.056401
PACS:
71.30.+h, 72.20.Dp, 73.23.–b
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