Theory of Quantum Anomalous Hall Phases in Pentalayer Rhombohedral Graphene Moiré Structures
Name
FQAH_in_pentalayer_graphene_moire__2_.pdf
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6.16 MB
Format
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Checksum (MD5)
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Author(s)
Dong, Zhihuan
Patri, Adarsh S.
Senthil, Todadri
Date Issued
November 12, 2024
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Zhihuan Dong, Adarsh S. Patri, and T. Senthil. Phys. Rev. Lett. 133, 206502
Version
Author's final manuscript
Abstract
Remarkable recent experiments on the moiré structure formed by pentalayer rhombohedral graphene aligned with a hexagonal boron nitride substrate report the discovery of a zero field fractional quantum Hall effect. These “(fractional) quantum anomalous Hall” [(F)QAH] phases occur for one sign of a perpendicular displacement field, and correspond, experimentally, to full or partial filling of a valley polarized Chern-1 band. Such a band is absent in the noninteracting band structure. Here we show that electron-electron interactions play a crucial role, and present microscopic theoretical calculations demonstrating the emergence of a nearly flat, isolated, Chern-1 band and FQAH phases in this system. We also study the four- and six-layer analogs and identify parameters where a nearly flat isolated Chern-1 band emerges which may be suitable to host FQAH physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-ShareAlike
Attribution-NonCommercial-ShareAlike 4.0 International
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.133.206502
