Multifractality of one electron eigen states in 1D disordered long range models

摘要

One investigates the spatial structure of one-electron eigenstates for the one-dimensional Anderson model with long-range off-diagonal disorder h(n,m) = [-1, +1]/ - m (delta) where [a, b] means a uniform random distribution between a and b. Two cases are considered according to the choices for the on-site energy epsilon (n) namely, epsilon (n) = 0 and epsilon (n) = [0, 1]. For delta = 1 all states are critical and the multifractal spectra f(x) is computed for the states: near the center of the band. The level-spacing distribution function is also obtained and its behavior for both small and large separations are studied. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 17]