English

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

Disordered Systems and Neural Networks 2009-07-24 v3 Mesoscale and Nanoscale Physics

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).

Keywords

Cite

@article{arxiv.0709.2619,
  title  = {Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition"},
  author = {N. Cherroret and S. E. Skipetrov and B. A. Van Tiggelen},
  journal= {arXiv preprint arXiv:0709.2619},
  year   = {2009}
}

Comments

2 pages, 1 figure