厄米矩阵
拓扑绝缘体
拓扑(电路)
铰链
格子(音乐)
物理
光子学
对称保护拓扑序
拓扑序
量子力学
数学
经典力学
量子
声学
组合数学
作者
Xiaoxiao Wang,Ruizhe Gu,Yandong Li,Huixin Qi,Xiaoyong Hu,Qihuang Gong
标识
DOI:10.1002/lpor.202300204
摘要
Abstract Higher‐order topological insulators hosting topological modes at hinges and corners provide a new avenue for disorder‐immune light transport, which prospects great potential in applications of integrated photonics devices. However, the active control of topological modes in 3D higher‐order topological insulators is not realized yet, and its construction is too complicated and huge to analyze. Here, a method is proposed to construct effective Hamiltonians for higher‐order topological insulators, which provides a correct physical picture of the states and the corresponding energies at the domain walls. A non‐Hermitian 3D honeycomb lattice is constructed, which can generate arbitrary‐located, arbitrary‐shaped, and robust topological hinge states propagating at gain‐loss domain walls. The 3D honeycomb lattice can also appear as non‐Hermitian third‐order TIs exhibiting corner states, which can be dynamically controlled and show new topologically protected confinement rules. This work expands the understanding of the topological properties in non‐Hermitian systems and enables the dynamic control of topological states of different dimensions.
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