Transition Characteristics of Non‐Hermitian Skin Effects in a Zigzag Lattice Without Chiral Symmetry

Author:

Wu Xiaoxiong1,Wang Luojia1,Chen Shihua23,Chen Xianfeng145,Yuan Luqi1ORCID

Affiliation:

1. State Key Laboratory of Advanced Optical Communication Systems and Networks School of Physics and Astronomy Shanghai Jiao Tong University Shanghai 200240 China

2. School of Physics and Frontiers Science Center for Mobile Information Communication and Security Southeast University Nanjing 211189 China

3. Purple Mountain Laboratories Nanjing 211111 China

4. Jinan Institute of Quantum Technology Jinan 250101 China

5. Collaborative Innovation Center of Light Manipulation and Applications Shandong Normal University Jinan 250358 China

Abstract

AbstractNon‐Hermitian systems recently have attracted tremendous attention due to their plentiful unique and fascinating properties, among which is the localization of an otherwise extensive bulk eigen‐state at the boundary when the open boundary condition (OBC) is imposed, an interesting phenomenon now referred to as non‐Hermitian skin effect (NHSE). Here, a non‐Hermitian Zigzag lattice model with/without chiral symmetry is investigated with respect to different nearest‐neighbor and long‐range hopping amplitudes and study the transition signature of NHSE by extracting information from the complex eigen‐energy spectra of the system under the periodic boundary condition (PBC), which is verified by the directional inverse participation ratio under OBC. Such an approach provides great simplicity in judging transitions of NHSE especially in lattices without chiral symmetry, where the obtained transition signatures are further confirmed by calculating the topological winding number of the energy under PBC. This work reveals a fundamental way to explore transitions of NHSE, and has a potential in helping understand more other complicated topological physics unique to non‐Hermitian systems.

Funder

Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning

National Natural Science Foundation of China

Publisher

Wiley

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