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).

arXiv comment2 pages, 1 figure

References in corpus (6)

• 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
• Impact of weak localization in the time domain
• The Scaling Behavior of Classical Wave Transport in Mesoscopic Media at the Localization Transition

Cited by in corpus (5)

• Self-Consistent Theory of Anderson Localization: General Formalism and Applications
• Anderson localization as position-dependent diffusion in disordered waveguides
• Local diffusion theory of localized waves in open media
• Transverse confinement of waves in 3D random media
• Reply to arXiv:0709.2619 "Comment on 'Scaling behavior of classical wave transport in mesoscopic media at the localization transition' [arXiv:cond-mat/0509381]"