General Method to Construct Flat Bands in Two-Dimensional Lattices

作者：H. T. Li, Tongzhou Ji, R. G. Yan, Wenlin Fan, Z. X. Zhang, Liang Sun, B. F. Miao, Gang Chen, Xiangang Wan, Haifeng Ding · 发表于：Physical Review Letters · 年份：2025 · DOI：10.1103/physrevlett.134.076402 · 被引用次数：13 · 研究领域：Graphene research and applications、Topological Materials and Phenomena、2D Materials and Applications

Searching for new materials hosting flat bands is pivotal for exploring strongly correlated effects and designing sensitive quantum devices, but remains challenging. We present a general method for realizing flat bands based on mathematical optimization and symmetry analysis. The method enables the discovery of ∼1000 types of two-dimensional lattices that can host flat bands, in sharp contrast with ∼10 flat-band lattices predicted previously besides the well-known ones. We further verify the method using first-principles calculations. Our approach provides new insights for the design of flat-band lattices, particularly when aiming to create experimentally feasible configurations.