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We calculated numerically the localization length of one-dimensional Andersonmodel with correlated diagonal disorder. For zero energy point in the weakdisorder limit, we showed that the localization length changes continuously asthe correlation of the disorder increases. We found that higher order terms ofthe correlation must be included into the current perturbation result in orderto give the correct localization length, and to connect smoothly the anomaly atzero correlation with the perturbation result for large correlation.

Zero Energy anomaly in one-dimensional Anderson lattice with exponentially correlated weak diadonal disorder