Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model
Disordered Systems and Neural Networks
2016-08-31 v2 chao-dyn
Chaotic Dynamics
Abstract
For energy eigenfunctions of 1-dimensional tight binding model, the distribution of ratio of their nearest components, denoted by f(p), gives information for their fluctuation properties. The shape of f(p) is studied numerically for three versions of the 1D tight binding model. It is found that when perturbation is strong the shape of f(p) is usually quite close to that of the Lorentzian distribution. In the case of weak perturbation the shape of the central part of f(p) is model-dependent while tails of f(p) are still close to the Lorentzian form.
Cite
@article{arxiv.cond-mat/9806268,
title = {Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model},
author = {Wen-ge Wang and Bambi Hu},
journal= {arXiv preprint arXiv:cond-mat/9806268},
year = {2016}
}
Comments
11 pages, 8 postscript figures (references added)