Haberko Jakub, Froufe-Pérez Luis S, Scheffold Frank
Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. Mickiewicza 30, Krakow, 30-059, Poland.
Department of Physics, University of Fribourg, Fribourg, 1700, Switzerland.
Nat Commun. 2020 Sep 25;11(1):4867. doi: 10.1038/s41467-020-18571-w.
Localization of light is the photon analog of electron localization in disordered lattices, for whose discovery Anderson received the Nobel prize in 1977. The question about its existence in open three-dimensional materials has eluded an experimental and full theoretical verification for decades. Here we study numerically electromagnetic vector wave transmittance through realistic digital representations of hyperuniform dielectric networks, a new class of highly correlated but disordered photonic band gap materials. We identify the evanescent decay of the transmitted power in the gap and diffusive transport far from the gap. Near the gap, we find that transport sets off diffusive but, with increasing slab thickness, crosses over gradually to a faster decay, signaling localization. We show that we can describe the transition to localization at the mobility edge using the self-consistent theory of localization based on the concept of a position-dependent diffusion coefficient.
光的局域化是无序晶格中电子局域化的光子类似物，安德森因发现电子局域化而于1977年获得诺贝尔奖。几十年来，关于其在开放三维材料中存在的问题一直没有得到实验和完整的理论验证。在这里，我们通过超均匀介电网络（一类新的高度相关但无序的光子带隙材料）的逼真数字表示，对电磁矢量波透过率进行了数值研究。我们确定了能隙中透射功率的倏逝衰减以及远离能隙的扩散输运。在能隙附近，我们发现输运开始时是扩散性的，但随着平板厚度的增加，逐渐过渡到更快的衰减，这表明出现了局域化。我们表明，我们可以使用基于位置依赖扩散系数概念的自洽局域化理论来描述在迁移率边缘向局域化的转变。
