Level-spacing distribution of a fractal matrix
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
We diagonalize numerically a Fibonacci matrix with fractal Hilbert space structure of dimension We show that the density of states is logarithmically normal while the corresponding level-statistics can be described as critical since the nearest-neighbor distribution function approaches the intermediate semi-Poisson curve. We find that the eigenvector amplitudes of this matrix are also critical lying between extended and localized.
Cite
@article{arxiv.cond-mat/0111080,
title = {Level-spacing distribution of a fractal matrix},
author = {D. E. Katsanos and S. N. Evangelou},
journal= {arXiv preprint arXiv:cond-mat/0111080},
year = {2009}
}
Comments
6 pages, Latex file, 4 postscript files, published in Phys. Lett. A289 pp 183-7 (2001)