拓扑基态扩展分划的纠缠Chern数
Entanglement Chern number for an extensive partition of a topological ground state
摘要：
如果在二维中的扩展划分产生约化密度矩阵的有间隙的纠缠谱，则基于相应纠缠本征函数的Berry曲率定义了陈数。我们提出这样一个纠缠陈数作为一个有用的，自然的，和可计算的拓扑不变量，这是潜在的各种拓扑基态相关。我们表明，它作为一个替代的拓扑不变量的时间反演不变系统和作为一个新的拓扑不变量的弱拓扑相的超晶格威尔逊-狄拉克模型。原则上，纠缠陈数也可以是有效的相互作用系统，如拓扑绝缘体相比，$Z_2$不变量。
英文摘要：
If an extensive partition in two dimensions yields a gapful entanglement spectrum of the reduced density matrix, the Berry curvature based on the corresponding entanglement eigenfunction defines the Chern number. We propose such an entanglement Chern number as a useful, natural, and calculable topological invariant, which is potentially relevant to various topological ground states. We show that it serves as an alternative topological invariant for time-reversal invariant systems and as a new topological invariant for a weak topological phase of a superlattice Wilson-Dirac model. In principle, the entanglement Chern number can also be effective for interacting systems such as topological insulators in contrast to $Z_2$ invariants.
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