{
  "id": "2312.11662",
  "version": "v1",
  "published": "2023-12-18T19:14:36.000Z",
  "updated": "2023-12-18T19:14:36.000Z",
  "title": "Layer Hall counterflow as a model probe of magic-angle twisted bilayer graphene",
  "authors": [
    "Jihang Zhu",
    "Dawei Zhai",
    "Cong Xiao",
    "Wang Yao"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "The recent constructions of flat moir\\'e minibands in specifically twisted multilayer graphene and twisted transition metal dichalcogenides (TMDs) have facilitated the observation of strong correlations with a convenient tunability. These correlations in flat bands result in the band dispersion heavily influenced by carrier densities, leading to filling-dependent quasiparticle band renormalizations. Particularly, in magic-angle twisted bilayer graphene (MATBG), the band structure--including the quasiparticle energy and wavefunction--is crucial in understanding the correlated properties. Previous theoretical studies have demonstrated the presence of a time-reversal-even charge Hall counterflow in response to a direct current (DC) electric field in twisted bilayers as chiral structures. In this study, we show that such layer Hall counterflow can serve as a sensitive probe for MATBG model parameters, which are currently ambiguous as a result of unavoidable structural relaxation and twist-angle disorder. We present the layer Hall counterflow and the associated in-plane magnetization for three different MATBG continuum models, based on which many-body interacting models have been widely applied to study strong correlations in MATBG. At the single-particle level, our findings indicate notable differences in layer-projected Hall conductivity, both in magnitude and sign, between different MATBG continuum models. Furthermore, our self-consistent Hartree calculations, performed on each of these single-particle continuum models, reveal renormalized layer-projected Hall conductivity by the self-consistent Hartree field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-18T19:14:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magic-angle twisted bilayer graphene",
      "layer hall counterflow",
      "model probe",
      "renormalized layer-projected hall conductivity",
      "matbg continuum models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}