Coexistence of extended and localized states in the one-dimensional non-Hermitian Anderson model
Coexistence of extended and localized states in the one-dimensional non-Hermitian Anderson model
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DOI：
10.1103/physrevb.106.024202
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发表时间：
2022-03
影响因子：
3.7
通讯作者：
C. Yuce;H. Ramézani
中科院分区：
文献类型：
--
作者：
C. Yuce;H. Ramézani
在一维厄米紧束缚模型中，迁移率边缘分离的扩展和本地化的状态可以出现在适当的工程准周期的潜力和耦合常数的存在。另一方面，迁移率边不存在于一维安德森晶格中，因为每当引入通过随机数的对角无序时，就会发生局域化。在这里，我们考虑一个非互易非厄米特晶格，并表明，共存的扩展和本地化的状态出现或没有对角无序的拓扑非平凡区域。我们讨论了迁移率边的出现主要是由于非互易非厄米晶格对边界条件的敏感性。
In one-dimensional Hermitian tight-binding models, mobility edges separating extended and localized states can appear in the presence of properly engineered quasi-periodical potentials and coupling constants. On the other hand, mobility edges don't exist in a one-dimensional Anderson lattice since localization occurs whenever a diagonal disorder through random numbers is introduced. Here, we consider a nonreciprocal non-Hermitian lattice and show that the coexistence of extended and localized states appears with or without diagonal disorder in the topologically nontrivial region. We discuss that the mobility edges appear basically due to the boundary condition sensitivity of the nonreciprocal non-Hermitian lattice.