Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band CenterThe Numerical Integration was Performed on HPC Cluster of ITP-CAS and Supported by National Natural Science Foundation of China under Grant Nos. 1121403 and 11745006

• Published in: Communications in theoretical physics Vol. 71; no. 4
• Main Authors: Feng, De-Long, Kang, Kai, Qin, Shao-Jing, Wang, Chui-Lin
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.04.2019
• Subjects: Anderson model; band center anomaly; disorder system

We investigate the behavior for the Lyapunov exponent around the band center in one-dimensional Anderson model with weak disorder. Using a parametrization method we derive the corresponding differential equation and solve the associated invariant distribution. We obtain the coefficient for the leadi...