论文标题
二维非富尔米特系统中的非Bloch波段
Non-Bloch bands in two-dimensional non-Hermitian systems
论文作者
论文摘要
非BLOCH带理论可以描述一维（1D）非热系统的能量带。另一方面，非BLOCH带理论是否可以扩展到高维的非官方系统是非平凡的。在这项工作中，我们通过将问题减少到1D非热模型中的两个类别中的两类非官方系统中构建了非Bloch频段理论。在这些类别的系统中，我们为复杂的波形提供了广义的布里渊区并研究了拓扑特性。作为一个例子，在非热的Chern绝缘子的模型中，我们显示了从广义的布里雷区域定义的Chern数量与边缘状态的外观之间的散装对应关系。
The non-Bloch band theory can describe energy bands in a one-dimensional (1D) non-Hermitian system. On the other hand, whether the non-Bloch band theory can be extended to higher-dimensional non-Hermitian systems is nontrivial. In this work, we construct the non-Bloch band theory in two classes of two-dimensional non-Hermitian systems, by reducing the problem to that for a 1D non-Hermitian model. In these classes of systems, we get the generalized Brillouin zone for a complex wavevector and investigate topological properties. In the model of the non-Hermitian Chern insulator, as an example, we show the bulk-edge correspondence between the Chern number defined from the generalized Brillouin zone and the appearance of the edge states.
