{
  "abstract": "We explore the possibility of using quasiparticle interference near impurities to extract non-local properties of bands. Focusing on the minimal two-band description of a system with multiple valleys, we show that the local density of states (LDOS) induced by non-magnetic impurities can effectively probe both the Berry curvature and the wavefunction winding, locally in each valley. We analyze gapped models based on Dirac, semi-Dirac, quadratic touching, and higher-order touching energy dispersions, in presence of a point-like potential scatterer. We find that for strong enough impurity potentials the LDOS along a contour around the impurity unambiguously shows the wavefunction winding number, in contrast to the case of gapless Dirac-like dispersions where the winding can be precluded by LDOS oscillations in the radial direction. We also establish a general connection between, on the one hand, the Berry curvature as a function of momentum locally in a valley, and on the other hand, the wavefunction winding number and the energy dispersion parameters, making hence the local Berry curvature directly observable from spectroscopic LDOS information.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08447",
  "author_total": 3,
  "authors": [
    {
      "name": "Reda Nabil"
    },
    {
      "name": "Pascal Simon"
    },
    {
      "name": "Andrej Mesaros"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/apbh0ff6fr7cg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08447",
  "fulltext_url": null,
  "id": "apbh0ff6fr7cg",
  "issns": [],
  "landing_url": "https://hal.science/hal-05771729v1",
  "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": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
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      "hal",
      "0.phys"
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      "openalex",
      "3107|Topological Materials and Phenomena"
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  "openalex": "W7212054788",
  "pdf_url": "https://hal.science/hal-05771729/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/apbh0ff6fr7cg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:44Z",
      "native_id": "hal-05771729",
      "source": "hal",
      "url": "https://hal.science/hal-05771729v1"
    },
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08447",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08447"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Impurity as a probe of Berry curvature and wavefunction winding in gapped two-band models",
  "title_text": "Impurity as a probe of Berry curvature and wavefunction winding in gapped two-band models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:49Z",
  "url": "https://research.draconitic.com/paper/apbh0ff6fr7cg",
  "venue": "HAL",
  "versions": []
}