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

Abstract

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).

2 pages, 1 figure

References in corpus (4)

• Dynamics of Anderson localization in open 3D media
• Dynamics of weakly localized waves
• Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
• Supersymmetric field theory of local light diffusion in semi-infinite media

Cited by in corpus (2)

• Anderson localization as position-dependent diffusion in disordered waveguides
• Reply to arXiv:0709.2619 "Comment on 'Scaling behavior of classical wave transport in mesoscopic media at the localization transition' [arXiv:cond-mat/0509381]"