Krich, Jacob JonathanAspuru-Guzik, Alan2012-03-182011Krich, Jacob Jonathan, and Alán Aspuru-Guzik. 2011. Scaling and localization lengths of a topologically disordered system. Physical Review Letters 106(15): 156405.0031-90071079-7114http://nrs.harvard.edu/urn-3:HUL.InstRepos:8404293We 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.en-USneural networksdisordered systemsJournal Article2012-03-1810.1103/PhysRevLett.106.156405