Observation of non-Hermitian topological disclination states and charge fractionalization

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Hauptverfasser: Li, Ruifeng, Banerjee, Rimi, Mandal, Subhaskar, Li, Da, Long, Yang, Ma, Tianchi, Liu, Jianwei, Liu, Gui-Geng, Chong, Yidong, Zhang, Baile, Li, Er-Ping
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Veröffentlicht: 2025
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author Li, Ruifeng
Banerjee, Rimi
Mandal, Subhaskar
Li, Da
Long, Yang
Ma, Tianchi
Liu, Jianwei
Liu, Gui-Geng
Chong, Yidong
Zhang, Baile
Li, Er-Ping
author_facet Li, Ruifeng
Banerjee, Rimi
Mandal, Subhaskar
Li, Da
Long, Yang
Ma, Tianchi
Liu, Jianwei
Liu, Gui-Geng
Chong, Yidong
Zhang, Baile
Li, Er-Ping
contents There has been significant interest in exploring topological disclination states, which effectively probe the band topology of the host material beyond the conventional bulk-edge correspondence. While most studies in this area have primarily focused on Hermitian systems, recent theoretical work predicts that non-Hermiticity can drive topological phase transitions and host topological disclination states associated with fractional charge. However, no experimental observations have been reported to date. Here, we report the first experimental observation of topological disclination states in electric circuits, induced solely by gain and loss. Through admittance matrix measurements and eigenstate analysis, we confirm their emergence and compute the corresponding fractional charge. Moreover, the disclination mode profile and localization effect can be directly visualized via monochromatic field excitation. Additionally, we demonstrate the emergence of degenerate zero-energy topological disclination states, devoid of fractional charge, in distinct non-Hermitian geometries. Our findings open the possibility of non-Hermiticity-induced fractional charges in two-dimensional non-Hermitian lattices, which may pave the way for advancements in active topological photonic devices.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04922
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observation of non-Hermitian topological disclination states and charge fractionalization
Li, Ruifeng
Banerjee, Rimi
Mandal, Subhaskar
Li, Da
Long, Yang
Ma, Tianchi
Liu, Jianwei
Liu, Gui-Geng
Chong, Yidong
Zhang, Baile
Li, Er-Ping
Mesoscale and Nanoscale Physics
Materials Science
There has been significant interest in exploring topological disclination states, which effectively probe the band topology of the host material beyond the conventional bulk-edge correspondence. While most studies in this area have primarily focused on Hermitian systems, recent theoretical work predicts that non-Hermiticity can drive topological phase transitions and host topological disclination states associated with fractional charge. However, no experimental observations have been reported to date. Here, we report the first experimental observation of topological disclination states in electric circuits, induced solely by gain and loss. Through admittance matrix measurements and eigenstate analysis, we confirm their emergence and compute the corresponding fractional charge. Moreover, the disclination mode profile and localization effect can be directly visualized via monochromatic field excitation. Additionally, we demonstrate the emergence of degenerate zero-energy topological disclination states, devoid of fractional charge, in distinct non-Hermitian geometries. Our findings open the possibility of non-Hermiticity-induced fractional charges in two-dimensional non-Hermitian lattices, which may pave the way for advancements in active topological photonic devices.
title Observation of non-Hermitian topological disclination states and charge fractionalization
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2502.04922