1986/01/01 by M. Titov, Henning Schomerus, H. Schomerus +1 · 2 citations
Arts and Humanities · Physics and Astronomy · Social Sciences · #Comparative Literary Analysis and Criticism #Historical and Literary Analyses #Literacy and Educational Practices #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.91.176601
published as Phys. Rev. Lett. 91, 176601 (2003) · 4 pages, 2 figures
openalex publication_date 1986/01/01 · arxiv created 2003/02/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions of the wave function, the conductance, and the local density of states, for every energy which corresponds to a rational ratio of wavelength to lattice constant. Power-law rather than log-normal tails dominate the short-distance wave-function statistics.