Abstract
The localization properties of one-dimensional (1D) electron systems subject with long-range correlated diagonal disorder are investigated. Numerical simulations elucidate the existence of the localization–delocalization transition in 1D systems, which is contrary to the conclusions of the well-known scaling theory. The values of the critical exponent ν in the case of the localization length of eigenstates is determined by employing the finite-size scaling analysis, revealing that all values of ν disobey the Harris criterion ν>2/d.
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