Effect of disorder degree on the localization-delocalization transition in one-dimensional disordered system with long-range correlations

Author:

Deng Chao-Sheng ,Xu Hui ,Liu Xiao-Liang ,Wu Xiao-Zan ,

Abstract

In order to reveal the effect of disorder degree on the localization-delocalization transition in one-dimensional disordered system with long-range correlations, the long-range power-law correlated energy sequence was modified. By using the renormalization group method, the Lyapunov exponent characterizing the localization-delocalization transition was calculated. The results showed that, compared with the correlation exponent, the disorder degree plays an opposite role in this transition. When the correlation exponent was fixed but the disorder degree increased, the extended states, which appeared at the center of energy band due to the influence of long-range correlations, were gradually converted to localized states. When the disorder degree increased to a critical value Wc, the whole eigenstates of the system became localized states, and the critical value Wc increased with the increase of correlation exponent.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

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