I. M. Lifshits, S. A. Gredeskul and L. A. Pastur, “Introduction to the Theory of Disordered Systems,” English Translation, Wiley, New York, 1988.

has been cited by the following article:

• TITLE: Spectral Dependence of the Degree of Localization in a 1D Disordered System with a Complex Structural Unit

  AUTHORS: Gleb G. Kozlov

  KEYWORDS: Anderson Localization, Spectral Distribution, Green’s Function, 1D Disordered Chain

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 24, 2011

  ABSTRACT: We analyze the spectral distribution of localisation in a 1D diagonally disordered chain of fragments each of which consist of m coupled two-level systems. The calculations performed by means of developed perturbation theory for joint statistics of advanced and retarded Green’s functions. We show that this distribution is rather inhomogeneous and reveals spectral regions of weakly localized states with sharp peaks of the localization degree in the centers of these regions.