We emphasize the importance of the position dependence of the diffusioncoefficient D(r) in the self-consistent theory of localization and argue thatthe 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 slabof 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 properlytreating the position dependence of D(r).
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机译:在自洽的局域化理论中,我们强调了扩散系数D(r)的位置依赖性的重要性,并认为张和张[Phys.Phys.Lett.38,pp。修订版B 72,235102(2005)]中关于局部过渡处厚度为L的无序平板的平均透射系数T是用其谐波均值代替D(r)的伪影。通过适当地处理D(r)的位置相关性,可以获得正确的缩放比例T〜1 / L ^ 2。
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