论文

论文

Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center
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论文题目: Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center
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作者: Feng, De-Long; Kang, Kai; Qin, Shao-Jing; Wang, Chui-Lin
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刊物名称: COMMUNICATIONS IN THEORETICAL PHYSICS
: 2019
: 71
: 4
: 463-467
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摘要: 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 Pade approximation formula is applied to fully amend the anomalous behavior of Lyapunov exponent near band center.
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