Abstract
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.
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