{
  "abstract": "Slow twist-angle and heterostrain textures in twisted bilayer graphene provide a natural route to phase-space Berry geometry. We show that a purely geometric tetrad/shift sector does not generate mixed Berry curvature once the spin connection is treated consistently. By contrast, a projected textured mini-Dirac cone in twisted bilayer graphene acquires genuine mixed phase-space curvature. We analyze a controlled local Hall-bar limit with a one-dimensional texture and mirror $M_x$. In that limit the pseudogauge gradient renormalizes only the longitudinal conductivity along the textured direction, while a dc nonlinear Hall response appears only when an additional valley-odd tilt generates a Berry-curvature dipole. Both geometric responses peak at the same local filling, $μ_{\\rm loc}=\\sqrt{2}\\,m$, providing a gate-tunable fingerprint of their common origin. All local-cone parameters and their texture susceptibilities are extracted from a heterostrained Bistritzer-MacDonald model at $θ=1.3^\\circ$. The tilt invoked in the transport estimates corresponds to heterostrain of only $0.03\\%-0.2\\%$, below values routinely imaged in devices. The resulting theory provides a local analytic framework for textured moiré Dirac materials and cleanly separates geometric, texture-induced, and transport-level ingredients relevant to realistic TBG.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 105148 Published 31 August 2026",
  "arxiv": "2608.30882",
  "author_total": 1,
  "authors": [
    {
      "name": "Tohid Farajollahpour"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6mqpv655r8pd2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30882",
  "fulltext_url": null,
  "id": "6mqpv655r8pd2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30882",
  "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.mes-hall"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.30882",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6mqpv655r8pd2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.30882",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30882"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene",
  "title_text": "Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/6mqpv655r8pd2",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/jpp9-lqs4",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}