Square-Root Higher-Order Exceptional Points with Symmetry-Induced Multiple Spectral Responses
Abstract
We generalize square-root procedure to non-Hermitian systems with finite lattices, providing a spectral operation scheme applicable to arbitrary tight-binding models. Via this generalized square-root approach, we construct novel chiral-symmetric higher-order exceptional points (EPs) with multiple spectral responses. By taking square-root of a parent Hamiltonian hosting an nth-order EP (EPn), an EP2n+1 chiral-symmetric square-root system is obtained, whose lattice sites are inherited from both the parent system and an auxiliary residual system. The chiral-symmetry-induced structure of the generalized eigenspace enables onsite and coupling perturbations to selectively generate spectral responses of different orders. The proposed scheme is universal, applicable to any existing tight-binding EP system and iterable to generate EPs of arbitrarily high order. With enriched ultrasensitive spectral responses, the chiral-symmetric higher-order EP system provides a promising platform for signal amplification, detection and non-Hermitian control.
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BibTeX
@misc{zhang2026squareroot,
title = {{Square-Root Higher-Order Exceptional Points with Symmetry-Induced Multiple Spectral Responses}},
author = {Haoyang Zhang and Yadi Niu and Nuo Wang and Zihan Mo and Ying Gu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24017},
eprint = {2609.24017},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24017},
}
RIS
TY - UNPB
TI - Square-Root Higher-Order Exceptional Points with Symmetry-Induced Multiple Spectral Responses
AU - Haoyang Zhang
AU - Yadi Niu
AU - Nuo Wang
AU - Zihan Mo
AU - Ying Gu
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.24017
UR - https://arxiv.org/abs/2609.24017
AB - We generalize square-root procedure to non-Hermitian systems with finite lattices, providing a spectral operation scheme applicable to arbitrary tight-binding models. Via this generalized square-root approach, we construct novel chiral-symmetric higher-order exceptional points (EPs) with multiple spectral responses. By taking square-root of a parent Hamiltonian hosting an nth-order EP (EP_n), an EP_2n+1 chiral-symmetric square-root system is obtained, whose lattice sites are inherited from both the parent system and an auxiliary residual system. The chiral-symmetry-induced structure of the generalized eigenspace enables onsite and coupling perturbations to selectively generate spectral responses of different orders. The proposed scheme is universal, applicable to any existing tight-binding EP system and iterable to generate EPs of arbitrarily high order. With enriched ultrasensitive spectral responses, the chiral-symmetric higher-order EP system provides a promising platform for signal amplification, detection and non-Hermitian control.
ER -