# 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}
}
• Published 1 July 2004
• Materials Science, Physics
• Physical Review B
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…
93 Citations

## Figures and Tables from this paper

Localization-delocalization transition in a one one-dimensional system with long-range correlated off-diagonal disorder
• Physics
• 2005
The localization behavior of the one-dimensional Anderson model with correlated and uncorrelated purely off-diagonal disorder is studied. Using the transfer matrix method, we derive an analytical
Localization-delocalization transition in chains with long-range correlated disorder
Abstract.We investigated numerically localization properties of electron eigenstates in a chain with long-range correlated diagonal disorder. A tight-binding one-dimensional model with on-site
Absence of localization on the 2d model with long-range correlated off-diagonal disorder
We study the one-electron eigenstates in a two-dimensional (2d) Anderson model with long-range correlated off-diagonal disorder, generated by a 2d discrete Fourier method. The dynamics of an
Intraband exciton relaxation in a biased lattice with long-range correlated disorder
• Physics
• 2008
We study numerically the intraband exciton relaxation in a one-dimensional lattice with scale-free disorder, in the presence of a linear bias. Exciton transport is considered as incoherent hoppings
Localization and delocalization for strong disorder in one-dimensional continuous potentials
• Mathematics
• 2015
In one-dimension and for discrete uncorrelated random potentials, such as tight binding models, all states are localized for any disorder strength. This is in contrast to continuous random
Ising model with long range correlated disorder on hierarchical lattices
• Materials Science
• 2010
A next-neighbor Ising model with disordered but long range correlated coupling constants is investigated. The model is built on a hierarchical lattice and the correlation strength depends on a tuning

## 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