Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center *

De-Long Feng,Kai Kang,Shao-Jing Qin,Chui-Lin Wang

Fig. 2 Invariant distribution $\rho(\theta)$ for $x=0$, $0.5$, $1$,$5$, $10$, and $\infty$, respectively. The lines with oscillation amplitudes from big to small are in correspondence with the magnitude of $x$ from small to big, one by one. The flat $\rho(\theta)$ line is of $E/\sigma^2=\infty$.