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

H. Shima·T. Nomura·T. Nakayama
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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 $ξ$ of eigenstates demonstrate the existence of the localization-delocalization transition in 1d systems and elucidate non-trivial behavior of $ξ$ as a function of the disorder strength. The critical exponent $ν$ for localization length is extracted for various values of parameters characterizing the disorder, revealing that every $ν$ disobeys the Harris criterion $ν> 2/d$.

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H. Shima, T. Nomura, T. Nakayama. 2004-07-01. Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder. https://doi.org/10.1103/physrevb.70.075116

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