{
  "abstract": "Here, we elaborate on and develop the geometrical approach introduced in Le Hur, Phys. Rep. 1104 (2025) between the magnetic monopole created from a radial field, quantum physics and topological lattice models through quantum phase transitions. We introduce an effective magnetic moment for a monopole when applying an additional source field along z-direction which also mediates the quantum phase transition. We present its relation with the transverse pumped quantum Hall current. The magnetic susceptibility can be introduced as a measure of the topological invariant i.e. it remains quantized within the topological phase until the transition. We show the relation with two-dimensional topological lattice models such as a honeycomb Haldane model in real space. We develop the theory and present a numerical analysis between local invariants in momentum space introduced from Dirac points, a real space correspondence and the responses to circularly polarized light. We develop the formalism for coupled-planes materials including the possibility of quantum spin Hall effect and address a relation between the Ramanujan infinite alternating series and an interface in real space with a topological number one-half.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Karyn Le Hur"
    },
    {
      "name": "Andrea Baldanza"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2eerjghqqa47y.bib",
  "cited_by": 0,
  "doi": "10.5802/crphys.287",
  "fulltext_url": null,
  "id": "2eerjghqqa47y",
  "issns": [
    "1631-0705",
    "1878-1535"
  ],
  "landing_url": "https://hal.science/hal-05765598v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7204212409",
  "pdf_url": "https://hal.science/hal-05765598/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-25",
  "publisher": "Académie des sciences (Paris)",
  "ris": "https://research.draconitic.com/paper/2eerjghqqa47y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "hal-05765598",
      "source": "hal",
      "url": "https://hal.science/hal-05765598v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Topological Materials and Phenomena",
      "subfield": "amo"
    }
  ],
  "title": "Spin response of a magnetic monopole and quantum Hall response in topological lattice models through local invariants and light",
  "title_text": "Spin response of a magnetic monopole and quantum Hall response in topological lattice models through local invariants and light",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/2eerjghqqa47y",
  "venue": "Comptes Rendus. Physique",
  "versions": []
}