Lattice model for the quantum anomalous Hall effect in moiré graphene

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.

© American Physical Society (APS) [Lattice model for the quantum anomalous Hall effect in moiré graphene. Physical Review B 107, 23 (2023)]

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Work Title Lattice model for the quantum anomalous Hall effect in moiré graphene
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Open Access
Creators
  1. Ahmed Khalifa
  2. Ganpathy Murthy
  3. Ribhu K. Kaul
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Physical Review B-Condensed Matter
Publication Date June 21, 2023
Publisher Identifier (DOI)
  1. https://doi.org/10.1103/PhysRevB.107.235137
Deposited January 06, 2025

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Version 1
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  • Created
  • Added 2212.10685-1.pdf
  • Added Creator Ahmed Khalifa
  • Added Creator Ganpathy Murthy
  • Added Creator Ribhu K. Kaul
  • Published
  • Updated