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