Abstract
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 language | English |
|---|---|
| Article number | 235137 |
| Journal | Physical Review B |
| Volume | 107 |
| Issue number | 23 |
| DOIs | |
| State | Published - Jun 15 2023 |
Bibliographical note
Publisher Copyright:© 2023 American Physical Society.
Funding
This work was supported, in part, by NSF DMR-2026947 (A.K. and R.K.K.). G.M. was grateful to the U.S.-Israel BSF for partial support under Grant No. 2016130. G.M. and R.K.K. acknowledge the Aspen Center for Physics, Grant No. NSF PHY-1607611 (G.M., R.K.K.) for its hospitality. G.M. was also grateful to the International Center for Theoretical Sciences, Bangalore for its hospitality while this work was being completed. We are grateful to the University of Kentucky Center for Computational Sciences and Information Technology Services Research Computing for their support and use of the Lipscomb Compute Cluster and associated research computing resources.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | DMR-2026947 |
| United States-Israel Binational Science Foundation | 2016130, PHY-1607611 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics