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

TL;DR

This paper extends the generalized-Brillouin-zone theory to non-Hermitian systems with on-site disorder, providing a more accurate description of the non-Hermitian skin effect and clarifying previous findings on magnetic suppression.

Contribution

The authors propose a modified GBZ theory that accurately characterizes NHSE in disordered non-Hermitian systems, unifying long-range hopping cases and explaining prior irrelevance of magnetic effects.

Findings

Unified β for systems with long-range hopping

Clarification of magnetic suppression irrelevance

Faithful description of NHSE with modified GBZ

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.