We study the characterization of the non-Hermitian skin effect (NHSE) in non-Hermitian systems with on-site disorder. We extend the application of generalized-Brillouin-zone (GBZ) theory to these systems. By proposing a modified GBZ theory, we give a faithfully description of the NHSE. For applications, we obtain a unified β for system with long-range hopping, and explain the conventional-GBZ irrelevance of the magnetic suppression of the NHSE in the previous study.
@article{arxiv.2208.03013,
title = {Modified Generalized-Brillouin-Zone Theory with On-site Disorders},
author = {Hongfang Liu and Ming Lu and Zhi-Qiang Zhang and Hua Jiang},
journal= {arXiv preprint arXiv:2208.03013},
year = {2023}
}