Lattice model for the quantum anomalous Hall effect in moiré graphene

Ahmed Khalifa, Ganpathy Murthy, Ribhu K. Kaul

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Inspired by experiments on magic angle-twisted bilayer graphene, we present a lattice mean-field model for the quantum anomalous Hall effect in a moiré setting. Our hopping Hamiltonian provides a simple route to a moiré Chern insulator in commensurately twisted systems. We study our model in the ribbon geometry and demonstrate the presence of thick chiral edge states that have a transverse localization that scales with the moiré lattice spacing. We also study the electronic structure of a domain wall between opposite Chern insulators. Our model and results are relevant to experiments that will image or manipulate the moiré quantum anomalous Hall edge states.

Original languageEnglish (US)
Article number235137
JournalPhysical Review B
Issue number23
StatePublished - Jun 15 2023

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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