Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
Abstract
We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length of eigenstates demonstrate the existence of the localization-delocalization transition in 1d systems and elucidate non-trivial behavior of as a function of the disorder strength. The critical exponent for localization length is extracted for various values of parameters characterizing the disorder, revealing that every disobeys the Harris criterion > 2/d.
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