{
  "abstract": "We investigate whether the geometry of a curved conductor--dielectric interface can modify the effective mass and propagation of scalar surface plasmons (SSPs). In the hydrodynamic limit, we describe SSPs as density perturbations in a semiclassical jellium electron gas. Using a thin--layer dimensional reduction procedure, we derive a massive Klein--Gordon equation for SSPs on the curved interface with a geometric potential. We find that under specific conditions, the geometric potential allows SSP propagation with a vanishing effective mass. We then apply the formalism to a well known analogue black hole configuration, determining the corresponding quasinormal mode frequencies. Our results show that interface curvature provides a geometric handle on plasmon propagation and localization, suggesting new possibilities for plasmon transport and analogue gravity experiments with surface plasmons.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03813",
  "author_total": 1,
  "authors": [
    {
      "name": "Matheus E. Pereira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7hhqv034xs1vf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03813",
  "fulltext_url": null,
  "id": "7hhqv034xs1vf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03813",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2204|Plasmonic and Surface Plasmon Research"
    ]
  ],
  "openalex": "W7220681635",
  "pdf_url": "https://arxiv.org/pdf/2610.03813",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7hhqv034xs1vf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.03813",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Surface scalar plasmons on curved interfaces: a venue for analogue gravity",
  "title_text": "Surface scalar plasmons on curved interfaces: a venue for analogue gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/7hhqv034xs1vf",
  "venue": "arXiv",
  "versions": []
}