2011/06/30 by Sonika Johri, S. Johri, R. N. Bhatt · 4 citations
Physics and Astronomy · #Anderson impurity model #Eigenvalues and eigenvectors #Electron #Mathematical physics #Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.109.076402
published as Phys. Rev. Lett. 109, 076402 (2012) · Correction to v1: Fig.3 caption now displayed
arxiv created 2011/07/27 · openalex publication_date 2012/08/16 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We observe an apparent singularity in the electronic properties of the Anderson model of localization with bounded diagonal disorder, which is clearly distinct from the well-established mobility edge (localization-delocalization transition) that occurs in dimensions d > 2. We present results of numerical calculations for Anderson's original uniform (box) distribution of on-site disorder in dimensions d = 1, 2, and 3. To establish this hitherto unreported behavior, and to understand its evolution with disorder, we contrast the behavior of two different measures of the localization length of the electronic wave functions-the averaged inverse participation ratio and the Lyapunov exponent. Our data suggest that Anderson's model exhibits richer behavior than has been established so far.