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arXiv 2408.04853physics.opticscond-mat.dis-nn
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三维光波的 Anderson 转变

Anderson transition for light in three dimensions

Alexey Yamilov, Hui Cao, Sergey E. Skipetrov

AI总结:

本文通过大规模 ab-initio 模拟研究了三维光波的 Anderson 转变,确定了区分扩散与局域化的迁移率边缘,发现其临界行为符合单参数标度律,且临界指数与正交普适类一致,同时验证了图解微扰理论在局域化发生前对总透射率分布的适用性。

摘要:

我们通过对导体球无序系综中的电磁波传输进行大规模 ab-initio 模拟,研究了三维光波的 Anderson 转变。我们确定了区分扩散传输与 Anderson 局域化的迁移率边缘,揭示了光波从扩散到局域化的急剧转变。迁移率边缘附近的临界行为可以由单参数标度律很好地描述。研究发现,临界指数与正交普适类的 Anderson 转变已知值一致。迁移率边缘处的总透射率统计分布可以由最初为标量波扩散开发的图解微扰理论在无任何拟合参数的情况下描述,但当 Anderson 局域化发生时,发现了与该理论的显著偏差。

英文摘要:

We study Anderson transition for light in three dimensions by performing large-scale ab-initio simulations of electromagnetic wave transport in disordered ensembles of conducting spheres. A mobility edge that separates diffusive transport and Anderson localization is identified, revealing a sharp transition from diffusion to localization for light. Critical behavior in the vicinity of the mobility edge is well described by a single-parameter scaling law. The critical exponent is found to be consistent with the value known for the Anderson transition of the orthogonal universality class. Statistical distribution of total transmission at the mobility edge is described without any fit parameter by the diagrammatic perturbation theory originally developed for scalar wave diffusion, but notable deviation from the theory is found when Anderson localization sets in.

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