2011/01/19 by Jacob J. Krich, Alán Aspuru-Guzik, Alán Aspuru‐Guzik · 1 citation
Mathematics · Physics and Astronomy · #Anderson impurity model #Anderson localization #Condensed matter physics #Delocalized electron #Diffusion #Function (biology) #Geometry #Impurity #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Relaxation (psychology) #Scaling #Scaling law #Statistical physics #Theoretical and Computational Physics #Topological Materials and Phenomena #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.106.156405
5+ pages
arxiv created 2011/01/19 · openalex publication_date 2011/04/14 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical evidence that this model displays the same universal behavior as the standard Anderson model. We use finite-size scaling to find the localization length as a function of energy and density, including localized states away from the delocalization transition. Results at many energies all fit onto the same universal scaling curve.