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20192026
most citedCorrespondence between winding numbers and skin modes in non-hermitian systems

967 citations · 1.8k across the 13 of their papers we have counts for

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cond-mat.mes-hall2026

Dynamical Poles in Non-Hermitian Impurity Scattering

Ao Yang, Kai Zhang, Chen Fang

In Hermitian impurity scattering, each isolated late-time exponential is the fingerprint of a bound state. We show that this correspondence breaks down in non-Hermitian bands. For…

cond-mat.mes-hall2023★ 2 cited

Two-dimensional Asymptotic Generalized Brillouin Zone Theory

Zeqi Xu, Bo Pang, Kai Zhang +1

In this work, we propose a theory on the two-dimensional non-Hermitian skin effect by resolving two representative minimal models. Specifically, we show that for any given non-Herm…

cond-mat.mes-hall2023★ 25 cited

Edge theory of non-Hermitian skin modes in higher dimensions

Kai Zhang, Zhesen Yang, Kai Sun

In this paper, we establish an effective edge theory to characterize non-Hermitian edge-skin modes in higher dimensions. We begin by proposing a bulk projection criterion to straig…

cond-mat.mes-hall2023★ 13 cited

Point-Gap Bound States in Non-Hermitian Systems

Zixi Fang, Chen Fang, Kai Zhang

In this paper, we systematically investigate the impurity-induced bound states in 1D non-Hermitian systems. By establishing an exact relationship between impurity potential and bou…

cond-mat.mes-hall2020★ 110 cited

Helical damping and anomalous critical non-Hermitian skin effect

Chun-Hui Liu, Kai Zhang, Zhesen Yang +1

Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correl…

cond-mat.mes-hall2019★ 550 cited

Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory

Zhesen Yang, Kai Zhang, Chen Fang +1

We provide a systematic and self-consistent method to calculate the generalized Brillouin Zone (GBZ) analytically in one dimensional non-Hermitian systems, which helps us to unders…

cond-mat.mes-hall2019★ 967 cited

Correspondence between winding numbers and skin modes in non-hermitian systems

Kai Zhang, Zhesen Yang, Chen Fang

We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condit…