Descete Spectrum of Delocalized States in One-Dimensional Random Potensial

1993/11/09 by Michael Lashkevich, M. Yu. Lashkevich, Lashkevich, M. Yu.
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9311019

3 pages, no figures, plain TEX

arxiv created 1993/11/09 · openalex publication_date 1993/11/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

It is well known^1,2 that in one-dimensional disordered system all states of electrons (or any other exitations) are localized. In this letter it is shown that delocalized states exist in a rather broad class of of simple models, but a set of delocalized states is not too great, and it does not contradict this theorem in more precize form^2,3. These systems can be considered as filters in energy for electrons.

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