反高阶外尔半金属
Anti-higher-order Weyl semimetal
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中文总结 AI 辅助
研究识别出反高阶外尔半金属这一新三维拓扑相，通过两带模型推导其解析解并经数值模拟验证，确立反高阶拓扑为常规高阶现象的对偶对应物，拓展了拓扑相研究。
中文摘要 AI 辅助
高阶拓扑通过引入角或铰链局域态扩展了体-边界对应关系。本文中我们识别出反高阶外尔半金属，这是一种三维拓扑相，其常规边界层级发生反转。与常规高阶外尔半金属中体拓扑强制产生铰链费米弧不同，该相具有反铰链态，即体拓扑迫使态在特定铰链方向消失。利用最小两带模型，我们展示了外尔点如何将布里渊区分成量子反常霍尔区域和反高阶拓扑绝缘区域，后者的特征是带反演面包围两个携带相反拓扑荷的不同高对称点。我们推导了外尔点、贝里曲率单极和切片陈数的解析解，数值模拟证实了反铰链行为。本工作确立反高阶拓扑是常规高阶现象的对偶对应物，进一步拓展了拓扑相的研究范畴。
英文摘要
Higher-order topology extends the bulk-boundary correspondence by enabling corner or hinge localized states. Here we identify an anti-higher-order Weyl semimetal, a three dimensional topological phase in which the conventional boundary hierarchy is reversed. Unlike conventional higher-order Weyl semimetals where bulk topology enforces hinge Fermi arcs, this phase hosts anti-hinge states, meaning the bulk topology forces states to vanish at specific hinge orientations. Using a minimal two-band model, we show how Weyl points separate the Brillouin zone into quantum anomalous Hall and anti-higher-order topological insulating regions, with the latter characterized by a band-inversion surface enclosing two distinct high-symmetry points carrying opposite topological charges. Analytical solutions for Weyl points, Berry curvature monopoles, and slice Chern numbers are derived, with numerical simulations confirming the resulting anti-hinge behavior. Our work establishes anti-higher-order topology as a dual counterpart to conventional higher-order phenomena, further extending the exploration of topological phases.
发表机构
- International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料国际中心）
- Hefei National Laboratory（合肥国家实验室）
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