论文标题
互动拓扑绝缘子的本地标记
Local marker for interacting topological insulators
论文作者
论文摘要
首先引入了物质的拓扑状态，用于在无限均匀晶格上进行非相互作用的费米子。从那时起，已经大力努力将这些概念概括为更复杂的设置。最近，已经开发了可以描述系统拓扑状态的本地标记，而没有翻译对称性和明确的间隙。但是，尚未提出尚未提出局部标记，即能够直接解决交互系统。在这里，我们建议基于单粒子绿色功能的多体局部标记。使用此标记，我们在具有安德森障碍和哈伯德相互作用的Chern绝缘子的有限晶格中确定拓扑转换。重要的是，我们的建议可以直接概括为非平衡系统。
Topological states of matter were first introduced for non-interacting fermions on an infinite uniform lattice. Since then, substantial effort has been made to generalize these concepts to more complex settings. Recently, local markers have been developed that can describe the topological state of systems without translational symmetry and well-defined gap. However, no local marker for interacting matter has been proposed yet that is capable of directly addressing an interacting system. Here we suggest such a many-body local marker based on the single-particle Green's function. Using this marker we identify topological transitions in finite lattices of a Chern insulator with Anderson disorder and Hubbard interactions. Importantly, our proposal can be straightforwardly generalised to non-equilibrium systems.
