{
  "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 $n$th-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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24017",
  "author_total": 5,
  "authors": [
    {
      "name": "Haoyang Zhang"
    },
    {
      "name": "Yadi Niu"
    },
    {
      "name": "Nuo Wang"
    },
    {
      "name": "Zihan Mo"
    },
    {
      "name": "Ying Gu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8by4jn0sz24xr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24017",
  "fulltext_url": null,
  "id": "8by4jn0sz24xr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24017",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7214057926",
  "pdf_url": "https://arxiv.org/pdf/2609.24017",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8by4jn0sz24xr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.24017",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24017"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Square-Root Higher-Order Exceptional Points with Symmetry-Induced Multiple Spectral Responses",
  "title_text": "Square-Root Higher-Order Exceptional Points with Symmetry-Induced Multiple Spectral Responses",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/8by4jn0sz24xr",
  "venue": "arXiv",
  "versions": []
}