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

@article{Shima2004LocalizationdelocalizationTI,
  title={Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder},
  author={Hiroyuki Shima and Takuji Nomura and Tomoyuki Nakayama},
  journal={Physical Review B},
  year={2004},
  volume={70},
  pages={075116}
}
We investigate localization properties of electron eigenstates in one-dimensional (1D) systems with long-range correlated diagonal disorder. Numerical studies on the localization length $\ensuremath{\xi}$ of eigenstates demonstrate the existence of the localization-delocalization transition in 1D systems and elucidate nontrivial behavior of $\ensuremath{\xi}$ as a function of the disorder strength. The critical exponent $\ensuremath{\nu}$ for localization length is extracted for various values… 
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References

We have numerically confirmed, at least for 2.0ഛ p ഛ 4.5, that the critical disorder width W c is independent of p and the critical exponent decreases monotonically with increasing p