{
  "abstract": "We show that the boundary fractionalization familiar from gapped topological insulators can enforce bulk gaplessness in a dipole-conserving system. In a one-dimensional fermion model with charge conservation, dipole conservation, and particle-hole symmetry, we realize an intrinsically gapless symmetry-protected topological (igSPT) phase combining a dipolar Luttinger liquid with half-quantized boundary charges. This boundary structure obstructs a unique gapped bulk preserving these symmetries and lattice translation. Remarkably, the two charge-neutral edge configurations remain exactly degenerate even at finite size due to dipole conservation and particle-hole symmetry. The boundary fractionalization also manifests as shifted conformal towers in the dipole-resolved entanglement spectrum, reflecting distinct conformal boundary conditions of the Luttinger liquid. We support our analysis of the igSPT by studying exactly-solvable limits and performing DMRG computations, establishing its stability for a wide range of tuning parameters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03538",
  "author_total": 3,
  "authors": [
    {
      "name": "Amogh Anakru"
    },
    {
      "name": "Linhao Li"
    },
    {
      "name": "Zhen Bi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ct38qd5s5s206.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03538",
  "fulltext_url": null,
  "id": "ct38qd5s5s206",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03538",
  "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",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03538",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ct38qd5s5s206.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03538",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03538"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "An Intrinsically Gapless Topological Phase with Dipole Symmetry",
  "title_text": "An Intrinsically Gapless Topological Phase with Dipole Symmetry",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/ct38qd5s5s206",
  "venue": "arXiv",
  "versions": []
}