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arxiv: 0709.2619 · v3 · submitted 2007-09-17 · ❄️ cond-mat.dis-nn · cond-mat.mes-hall

Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition"

classification ❄️ cond-mat.dis-nn cond-mat.mes-hall
keywords localizationscalingcoefficientdependenceobtainedpositiontransitionargue
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We emphasize the importance of the position dependence of the diffusion coefficient D(r) in the self-consistent theory of localization and argue that the scaling law T ~ ln(L)/L^2 obtained by Cheung and Zhang [Phys. Rev. B 72, 235102 (2005)] for the average transmission coefficient T of a disordered slab of thickness L at the localization transition is an artifact of replacing D(r) by its harmonic mean. The correct scaling T ~ 1/L^2 is obtained by properly treating the position dependence of D(r).

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