Fluctuations and correlations of local topological order parameters in disordered two-dimensional topological insulators

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{
  "created": "2025-03-29T12:01:23.340355+00:00", 
  "revision": 4, 
  "updated": "2025-03-31T14:35:29.884415+00:00", 
  "id": "2617", 
  "metadata": {
    "is_last": true, 
    "doi": "10.24435/materialscloud:3w-0e", 
    "license": "Creative Commons Attribution 4.0 International", 
    "license_addendum": null, 
    "references": [
      {
        "citation": "R. Favata, N. Ba\u00f9, A. Marrazzo, Fluctuations and correlations of local topological order parameters in disordered two-dimensional topological insulators", 
        "type": "Preprint"
      }
    ], 
    "description": "Two-dimensional topological insulators are characterized by an insulating bulk and conductive edge states protected by the nontrivial topology of the bulk electronic structure. They remain robust against moderate disorder until Anderson localization occurs and destroys the topological phase. Interestingly, disorder can also induce a topological phase\u2014known as a topological Anderson insulator\u2014starting from an otherwise pristine trivial phase. While topological invariants are generally regarded as global quantities, we argue that space-resolved topological markers can act as local order parameters, revealing the role of fluctuations and correlations in the local topology under Anderson disorder and vacancies. With this perspective, we perform numerical simulations of disorder-driven topological phase transitions in the Haldane and Kane-Mele models, using supercells with both open and periodic boundary conditions. We find that short-scale fluctuations of topological markers vanish upon coarse-graining, except at the topological phase transition, where their correlation length peaks and large-scale fluctuations remain.", 
    "mcid": "2025.49", 
    "status": "published", 
    "contributors": [
      {
        "email": "roberta.favata@phd.units.it", 
        "affiliations": [
          "Dipartimento di Fisica, Universit\u00e0 di Trieste, Strada Costiera 11, I-34151 Trieste, Italy"
        ], 
        "givennames": "Roberta", 
        "familyname": "Favata"
      }, 
      {
        "email": "nicolas.bau@phd.units.it", 
        "affiliations": [
          "Dipartimento di Fisica, Universit\u00e0 di Trieste, Strada Costiera 11, I-34151 Trieste, Italy"
        ], 
        "givennames": "Nicolas", 
        "familyname": "Ba\u00f9"
      }, 
      {
        "email": "amarrazz@sissa.it", 
        "affiliations": [
          "Scuola Internazionale Superiore di Studi Avanzati (SISSA), I-34136 Trieste, Italy"
        ], 
        "givennames": "Antimo", 
        "familyname": "Marrazzo"
      }
    ], 
    "edited_by": 576, 
    "_files": [
      {
        "description": "Results for single-point (spin) Chern number, local (spin) Chern markers and Chern-Chern correlation functions", 
        "key": "data.zip", 
        "checksum": "md5:3faf0dcef69e34c2bbba0ecaa92a94a6", 
        "size": 4547905
      }, 
      {
        "description": "README", 
        "key": "README.txt", 
        "checksum": "md5:061c6ab8b5c99c775d6cea0096a0f68e", 
        "size": 3420
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    ], 
    "owner": 933, 
    "conceptrecid": "2616", 
    "version": 1, 
    "_oai": {
      "id": "oai:materialscloud.org:2617"
    }, 
    "keywords": [
      "Topological order parameters", 
      "Local topology", 
      "Fluctuations and correlations", 
      "Haldane model", 
      "Kane-Mele model", 
      "Anderson disorder", 
      "Vacancies"
    ], 
    "id": "2617", 
    "publication_date": "Mar 31, 2025, 16:35:29", 
    "title": "Fluctuations and correlations of local topological order parameters in disordered two-dimensional topological insulators"
  }
}