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Non-Hermitian total-loss high-order topological insulator based on 1D Su-Schrieffer-Heeger (SSH)
preprintposted on 2023-01-12, 14:37 authored by Hui-Chang Li, Jing-Wei Xu, Chen Luo, Tai-Lin Zhang, Jian-Wei Xu, Xiang Zhou, Yun Shen, Xiao-Hua Deng
Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the system are considered simultaneously. In this work, we reveal two-dimensional non-Hermitian high-order topological insulator based on one-dimensional SSH chain, the nontrivial topology of which induced by total-loss. By introducing the loss of a specific configuration, we get a band gap with corner and edge states whose topology is characterized by the gapped wannier band. In addition, we demonstrate the existence of 'real-energy' edge states in pseudo-PT symmetric domain wall system. These results can be easily implemented in experiments, and promote the research of topological transmission of lossy systems in the real world.