Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model

Details Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model

1998-06-23

arxiv.org/abs/cond-mat/9806268v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 8 postscript figures (references added)

Scientific paper

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.

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