Lyapunov exponents in 1d disordered system with long-range memory

Details Lyapunov exponents in 1d disordered system with long-range memory Lyapunov exponents in 1d disordered system with long-range memory

2009-02-19

arxiv.org/abs/0902.3325v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The Lyapunov exponents for Anderson localization are studied in a one dimensional disordered system. A random Gaussian potential with the power law decay $\sim 1/|x|^q$ 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.

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