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Domain wall competition in the Chern insulating regime of twisted bilayer graphene

Abstract:
We consider magic-angle twisted bilayer graphene (TBG) at filling $\nu=+3$, where experiments have observed a robust quantized anomalous Hall effect. This has been attributed to the formation of a valley- and spin-polarized Chern insulating ground state that spontaneously breaks time-reversal symmetry, and is stabilized by a hexagonal boron nitride (hBN) substrate. We identify three different types of domain wall, and study their properties and energetic selection mechanisms via theoretical arguments and Hartree-Fock calculations adapted to deal with inhomogeneous moir\'e systems. We comment on the implications of these results for transport and scanning probe experiments.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.104.115404

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5055-5528


Publisher:
American Physical Society
Journal:
Physical Review B: Condensed Matter and Materials Physics More from this journal
Volume:
104
Article number:
115404
Publication date:
2021-09-02
Acceptance date:
2021-08-16
DOI:
EISSN:
1550-235X
ISSN:
1098-0121


Language:
English
Keywords:
Pubs id:
1138074
Local pid:
pubs:1138074
Deposit date:
2021-08-19

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