Non-Hermitian topological electric circuits with projective symmetry

Fuente: arXiv
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Hauptverfasser: Zhang, Wenjie, Yang, Yuting, Shen, Xiaopeng, Shi, Liwei, Hang, Zhi Hong
Format: Preprint
Veröffentlicht: 2025
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author Zhang, Wenjie
Yang, Yuting
Shen, Xiaopeng
Shi, Liwei
Hang, Zhi Hong
author_facet Zhang, Wenjie
Yang, Yuting
Shen, Xiaopeng
Shi, Liwei
Hang, Zhi Hong
contents Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications. Here, we systematically investigate non-Hermitian Möbius insulators and graphene-like topological semimetals from the projected symmetry and realize their corresponding topological phenomena in an electric circuit-based framework. By introducing a nonreciprocal hopping term consisting of negative impedance converters into a two-dimensional electric circuit, we establish an experimental platform that effectively demonstrates that introducing non-Hermitian terms significantly enhances the energy localization of topological edge states, which originate from the non-Hermitian skin effect. Furthermore, a thorough comparison of experimental measurements with numerical simulations validates the robustness and reliability of our electric circuit structure. This work not only reveals the physical properties of non-Hermitian topological materials but also provides valuable theoretical and experimental guidance for the implementation of topological circuits and the design of radiofrequency devices in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14225
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Hermitian topological electric circuits with projective symmetry
Zhang, Wenjie
Yang, Yuting
Shen, Xiaopeng
Shi, Liwei
Hang, Zhi Hong
Mesoscale and Nanoscale Physics
Applied Physics
Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications. Here, we systematically investigate non-Hermitian Möbius insulators and graphene-like topological semimetals from the projected symmetry and realize their corresponding topological phenomena in an electric circuit-based framework. By introducing a nonreciprocal hopping term consisting of negative impedance converters into a two-dimensional electric circuit, we establish an experimental platform that effectively demonstrates that introducing non-Hermitian terms significantly enhances the energy localization of topological edge states, which originate from the non-Hermitian skin effect. Furthermore, a thorough comparison of experimental measurements with numerical simulations validates the robustness and reliability of our electric circuit structure. This work not only reveals the physical properties of non-Hermitian topological materials but also provides valuable theoretical and experimental guidance for the implementation of topological circuits and the design of radiofrequency devices in the future.
title Non-Hermitian topological electric circuits with projective symmetry
topic Mesoscale and Nanoscale Physics
Applied Physics
url https://arxiv.org/abs/2506.14225