Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder

摘要

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