Lyapunov exponents in 1d disordered system with long-range memory
Statistical Mechanics
2015-05-13 v1 Disordered Systems and Neural Networks
Abstract
The Lyapunov exponents for Anderson localization are studied in a one dimensional disordered system. A random Gaussian potential with the power law decay of the correlation function is considered. The exponential growth of the moments of the eigenfunctions and their derivative is obtained. Positive Lyapunov exponents, which determine the asymptotic growth rate are found.
Cite
@article{arxiv.0902.3325,
title = {Lyapunov exponents in 1d disordered system with long-range memory},
author = {Alexander Iomin},
journal= {arXiv preprint arXiv:0902.3325},
year = {2015}
}