2001/09/30 by Tsampikos Kottos, Matthias Weiss, Matthias Weiß · 3 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.89.056401
published as Phys. Rev. Lett. 89, 056401 (2002) · 4 pages, 3 figures, improved presentation
arxiv created 2002/07/12 · openalex publication_date 2002/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the distributions of the normalized resonance widths P(\stackrel\texttildelow\ensuremathΓ) and delay times P(\stackrel\texttildelow\ensuremathτ) 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(\stackrel\texttildelow\ensuremathΓ) 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.