Journal of Siberian Federal University. Mathematics & Physics / Lyapunov Exponents in 1D Anderson Localization with Long-range Correlations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
Authors
Iomin, Alexander
Contact information
Iomin, Alexander : Department of Physics, Technion , Haifa, 32000, Israel , e-mail:
Keywords
long-range correlations; Furutsu-Novikov formula; fractional derivatives
Abstract

The Lyapunov exponents for Anderson localization are studied in a one dimensional disordered system. A random Gaussian potential with the power law decay ~ 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.

Pages
297-302
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1743