Yoshida Tsuneya, Hatsugai Yasuhiro
Department of Physics, University of Tsukuba, Ibaraki, 305-8571, Japan.
Sci Rep. 2021 Jan 13;11(1):888. doi: 10.1038/s41598-020-80180-w.
We elucidate that diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence of robust edge states protected by the winding number for one- and two-dimensional systems. These topological edge states can be experimentally accessible by measuring diffusive dynamics at edges. Furthermore, we discover a novel diffusion phenomenon by numerically simulating the distribution of temperatures for a honeycomb lattice system; the temperature field with wavenumber [Formula: see text] cannot diffuse to the bulk, which is attributed to the complete localization of the edge state.
我们阐明，在自然界中广泛存在的扩散系统可以成为体边对应这一典型拓扑现象的新平台。通过使用离散化的扩散方程，我们证明了一维和二维系统中受缠绕数保护的稳健边缘态的出现。这些拓扑边缘态可以通过测量边缘处的扩散动力学在实验中实现。此外，通过对蜂窝晶格系统的温度分布进行数值模拟，我们发现了一种新颖的扩散现象；波数为[公式：见原文]的温度场无法扩散到体相中，这归因于边缘态的完全局域化。
