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- W2007459601 abstract "The localization problem in nonstationary chaotic field with a long-range correlation, which is generated by the modified Bernoulli map, is numerically studied. The map can generate a stationary $(B<2)$ and nonstationary $(B>~2)$ sequence by changing the parameter B. We investigate the effect of correlation on localization in the electronic states by the Lyapunov exponent $ensuremath{gamma}$ (the inverse localization length) and the localization length $ensuremath{xi}$ in the nonstationary regime. At the band center the potential strength, W, dependence of the Lyapunov exponent shows $ensuremath{gamma}ensuremath{sim}{W}^{2}$ independent of the correlation strength B, while at the band edge the scaling form changes from $ensuremath{gamma}ensuremath{sim}{W}^{2/3}$ to $ensuremath{gamma}ensuremath{sim}{W}^{1/2}$ as the correlation increases. It is also numerically shown that the B dependence of the Lyapunov exponent obeys $ensuremath{gamma}ensuremath{propto}ensuremath{-}B$ for $B<~2$ and exponentially decreases for $B>2.$ Furthermore we investigate the system size, N, dependence of the localization length. It is confirmed that in the strongly correlated cases $(B<~3.0)$ the exponential localization remains, i.e., $ensuremath{gamma}ensuremath{sim}{N}^{ensuremath{nu}}(ensuremath{nu}ensuremath{sim}0),$ even for the weak potential strength $(W=0.01)$ in the thermodynamic limit." @default.
- W2007459601 created "2016-06-24" @default.
- W2007459601 creator A5032770298 @default.
- W2007459601 date "2004-01-14" @default.
- W2007459601 modified "2023-09-26" @default.
- W2007459601 title "Localization of the electronic states in a nonstationary chaotic field with long-range correlation" @default.
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- W2007459601 doi "https://doi.org/10.1103/physrevb.69.014205" @default.
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