2020/07/31 by Tsuneya Yoshida, Yasuhiro Hatsugai
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Artificial intelligence #Combinatorics #Computer science #Diffusion #Discretization #Enhanced Data Rates for GSM Evolution #Lattice (music) #Mathematical analysis #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Statistical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1038/s41598-020-80180-w
published as Scientific Reports 11, 888 (2021) · 9 pages, 7 figures, a reference is added, typos are corrected
arxiv created 2020/12/11 · openalex publication_date 2021/01/13 · arxiv updated 2021/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.