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.
@article{arxiv.2112.02728,
title = {Non-Hermitian total-loss high-order topological insulator based on 1D Su-Schrieffer-Heeger (SSH)},
author = {Hui-Chang Li and Jing-Wei Xu and Chen Luo and Tai-Lin Zhang and Jian-Wei Xu and Xiang Zhou and Yun Shen and Xiao-Hua Deng},
journal= {arXiv preprint arXiv:2112.02728},
year = {2021}
}