Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition"
Résumé
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), see also arXiv:cond-mat/0509381] 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).