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

• 作者: Gleb G. Kozlov
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: ANDERSON LOCALIZATION SPECTRAL Distribution Green’s Function 1D DISORDERED CHAIN
• 年，卷（期）: 2011,（8）
• 页码范围: 965-974
• 页数: 10页
• 分类号: O1

摘要

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.