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

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

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