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

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...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 71; no. 4
Main Authors Feng, De-Long, Kang, Kai, Qin, Shao-Jing, Wang, Chui-Lin
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing Ltd 01.04.2019
Subjects
Anderson model
band center anomaly
disorder system
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Summary: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 leading correction term for small energy in band center anomaly. A high precision Padé approximation formula is applied to fully amend the anomalous behavior of Lyapunov exponent near band center.
ISSN:0253-6102
DOI:10.1088/0253-6102/71/4/463