Modified Generalized-Brillouin-Zone Theory with On-site Disorders

Abstract

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 $\beta$ for system with long-range hopping, and explain the conventional-GBZ irrelevance of the magnetic suppression of the NHSE in the previous study.

arXiv comment7-pages, 3 figures

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• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Dynamical transition in non-Hermitian Chern insulator
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems