Open AccessLocalization in the one-dimensional systems with long-range correlated disorder
Author(s) -
Yi Zhao
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.532
Subject(s) - range (aeronautics) , physics , diagonal , fourier transform , eigenvalues and eigenvectors , condensed matter physics , function (biology) , point (geometry) , tight binding , quantum mechanics , mathematics , materials science , electronic structure , geometry , evolutionary biology , composite material , biology
In this paper, we investigate the localization in a tight-binding one-dimensional model with long-range correlated disorder, which was proposed by de Moura and Lyra. The diagonal on-site energies are distributed in -W/2W/2 and the Fourier transform S(k) of the two-point correlation function 〈εiεj〉 satisfies S(k)∝k-α with α>0. Using the participation ratio, we confirm that there is a finite range of extended eigenstates for α>2 and Wα<2.