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

Gleb G. Kozlov

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DOI: 10.4236/am.2011.28133                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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