Open AccessEffect of disorder degree on the localization-delocalization transition in one-dimensional disordered system with long-range correlations
Author(s) -
Deng Chao-Sheng,
Hui Xu,
Xiaoliang Liu,
Wu Xiao-Zan
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.2415
Subject(s) - delocalized electron , exponent , condensed matter physics , degree (music) , physics , renormalization group , critical exponent , range (aeronautics) , lyapunov exponent , statistical physics , quantum mechanics , materials science , phase transition , philosophy , linguistics , nonlinear system , acoustics , composite material
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.