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