{
  "abstract": "We present a systematic investigation of the stability of the phase diagram of the spinless Falicov-Kimball model on two-dimensional non-bipartite lattices, the triangular and kagome lattices, using Markov-chain Monte Carlo simulations. Three filling or chemical potential conditions are examined: fixed chemical potentials ($μ_f = μ_c = U/2$), \"generalized\" half-filling ($\\bar{n}_f = 1/3$, $\\bar{n}_c = 2/3$), and conventional half-filling ($\\bar{n}_f = \\bar{n}_c = 1/2$). For each condition, the effects of a perturbatively small next-nearest-neighbor hopping are studied. On the triangular lattice, Anderson insulator, Mott insulator, and charge-density wave (CDW) phases are found in all cases, with the CDW driven by Coulomb-interaction-mediated nesting. Evidence for a charge-liquid regime is found in the region between the weakly correlated regime and the CDW, characterized by competing charge-ordering wavevectors and the absence of universal scaling behavior, whose extent shrinks progressively from the grand-canonical to the conventional half-filling condition. On the kagome lattice, the CDW phase is completely absent; instead, an insulating ground state, plausibly of the Mott type, is found, with signatures of a possible quantum phase transition at zero temperature. Our results establish the crucial role of lattice geometry and particle-hole symmetry breaking in shaping the phase diagram of correlated electron systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Eur. Phys. J. B 99, 141 (2026)",
  "arxiv": "2608.28898",
  "author_total": 2,
  "authors": [
    {
      "name": "Ammar Nejati"
    },
    {
      "name": "Marvin Lenk"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/96m3rfk8t8qz9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28898",
  "fulltext_url": null,
  "id": "96m3rfk8t8qz9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28898",
  "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.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.28898",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/96m3rfk8t8qz9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2608.28898",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28898"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Phase stability, charge ordering, and charge-liquid formation in the Falicov-Kimball model on triangular and kagome lattices",
  "title_text": "Phase stability, charge ordering, and charge-liquid formation in the Falicov-Kimball model on triangular and kagome lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/96m3rfk8t8qz9",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1140/epjb/s10051-026-01245-9",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}