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arXiv 0709.2619cond-mat.dis-nncond-mat.mes-hall
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评“局域化转变时介观介质中经典波输运的标度行为”

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

N. Cherroret, S. E. Skipetrov, B. A. Van Tiggelen

摘要:

我们强调了扩散系数D(r)的位置依赖性在自洽定域理论中的重要性,并认为Cheung和Zhang [Phys.Rev.B72,235102(2005)]对于厚度为L的无序板在局部化过渡处的平均透射系数T,和谐的意思。通过适当处理D(r)的位置依赖性,得到了正确的标度T ~ 1/L^2。

英文摘要:

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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