Non-Bloch bands in two-dimensional non-Hermitian systems
Non-Bloch bands in two-dimensional non-Hermitian systems
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DOI：
10.1103/physrevb.107.195112
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发表时间：
2022-10
影响因子：
3.7
通讯作者：
Kazuki Yokomizo;S. Murakami
中科院分区：
文献类型：
--
作者：
Kazuki Yokomizo;S. Murakami
非布洛赫带理论可以描述一维非厄米系统的能带。另一方面，非布洛赫带理论是否能推广到高维非厄米特系统也是一个重要的问题。在这篇工作中，我们构造了两类二维非厄米特系统的非布洛赫带理论，将问题归结为一维非厄米特模型。在这几类系统中，我们得到了复波矢的广义布里渊区，并研究了其拓扑性质。在非厄米陈氏绝缘体的模型中，作为一个例子，我们展示了从广义布里渊区定义的陈氏数和边缘状态的外观之间的体积-边缘对应。
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.