Comment on "Localization and the mobility edge in one-dimensional potentials with correlated disorder"

Igor F. Herbut (Simon Fraser University)

Comment on "Localization and the mobility edge in one-dimensional potentials with correlated disorder"

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arxiv cond-mat/0007266 v1 pith:HFFJQQHW submitted 2000-07-17 cond-mat.dis-nn

Comment on "Localization and the mobility edge in one-dimensional potentials with correlated disorder"

Igor F. Herbut (Simon Fraser University) This is my paper

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keywords correlatedlocalizationdisorderlengthpotentialsrandomaboveaccord

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The equation for the wave-function localization length in terms of the two-point correlation function of a weak random potential in 1D (F. M. Izrailev and A. A. Krokhin, Phys. Rev. Lett. vol. 82, 4062 (1999)) is rederived using the standard weak-localization theory. I propose a modified algorithm for generation of arbitrary correlated random potentials, and show that numerical calculation of the localization length in a specific correlated disorder in 1D is then in accord with the analytic expression, removing the discrepancy noted in the above Letter.

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Effective delocalization in the one-dimensional Anderson model with stealthy disorder
cond-mat.dis-nn 2025-09 unverdicted novelty 7.0

Stealthy disorder in the 1D Anderson model makes the localization length scale as a higher inverse power of disorder strength W, allowing it to exceed system size for sufficient stealthiness parameter χ.