论文标题
拓扑费的手性兰道带的索引定理
Index theorem on chiral Landau bands for topological fermions
论文作者
论文摘要
拓扑费用作为来自多层费米亚点的激发，吸引了人们对凝结物理物理学的兴趣越来越多。它们的特征是拓扑电荷，并且通常将磁场应用于实验中以进行检测。在这里，我们提出了一个索引定理，该定理揭示了费米点的拓扑电荷与兰道带结构中的间隙模式之间的固有联系。该证明是基于磁场下的费米子映射到拓扑绝缘子的，其拓扑数正是费米点的拓扑电荷。我们的作品为研究拓扑费用的磁反应效应的研究奠定了坚实的基础。
Topological fermions as excitations from multi-degenerate Fermi points have been attracting increasing interests in condensed matter physics. They are characterized by topological charges, and magnetic fields are usually applied in experiments for their detection. Here we present an index theorem that reveals the intrinsic connection between the topological charge of a Fermi point and the in-gap modes in the Landau band structure. The proof is based on mapping fermions under magnetic fields to a topological insulator whose topological number is exactly the topological charge of the Fermi point. Our work lays a solid foundation for the study of intriguing magneto-response effects of topological fermions.
