{
  "abstract": "The power-law profile of hopping and superconductivity introduces rich critical phenomena that are not possible to explore in the nearest-neighbor models. Having this in mind, we construct the Su-Schrieffer-Heeger (SSH)-Kitaev model with mono-, bi-, and tri-partite sub-lattices where superconductivity [hopping] is of power-law Kitaev [SSH] type. The long-range (LR) superconductivity can alone gap out the zero-momentum critical line while LR hopping alters the finite-momentum critical line. There exists open-ended critical line at vanishing superconducting gap on the phase diagram for all versions of the SSH-Kitaev model. Interestingly, LR superconductivity (hopping) promotes massive Dirac (Majorana zero) modes, while in a finite-size system, their emergence in open boundary conditions is caused by the bulk gap of the anti-periodic Hamiltonian in momentum space. This indicates an unconventional bulk-boundary correspondence for power-law models as compared to what is seen in the short-range models. Importantly, the thermodynamic phase boundaries are correctly reproduced by the above unconventional correspondence. Intriguingly, an even (odd) number of sub-lattices yields an integer (half-integer) winding number while the massive Dirac modes continue to survive irrespective of the sub-lattice profile as long as there exists LR pairing only.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28735",
  "author_total": 3,
  "authors": [
    {
      "name": "Dharana Joshi"
    },
    {
      "name": "Amaan Khan"
    },
    {
      "name": "Tanay Nag"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94n5j2nnep9j8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28735",
  "fulltext_url": null,
  "id": "94n5j2nnep9j8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28735",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214322089",
  "pdf_url": "https://arxiv.org/pdf/2609.28735",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94n5j2nnep9j8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.28735",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28735"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Intriguing topological superconductor phases in long-range extended Kitaev models: an interplay between sub-lattices and power-law interaction",
  "title_text": "Intriguing topological superconductor phases in long-range extended Kitaev models: an interplay between sub-lattices and power-law interaction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/94n5j2nnep9j8",
  "venue": "arXiv",
  "versions": []
}