Lyapunov exponents in 1d disordered system with long-range memory
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nn
keywords
exponentslyapunovdisorderedgrowthsystemandersonasymptoticconsidered
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.