Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study
Abstract
Motivated by the recently observed insulating states in twisted bilayer graphene, we study the nature of the correlated insulating phases of the twisted bilayer graphene at commensurate filling fractions. Iin this work, we use the continuum model and project the Coulomb interaction onto the flat bands to study the ground states by using a Hartree-Fock approximation. In the absence of the hexagonal boron nitride substrate, the ground states are the intervalley coherence states at charge neutrality (filling $$\textit{ν}$$ = 0 , or four electrons per moiré cell) and at $$\textit{ν}$$ = –1/4 and –1/2 (three and two electrons per cell, respectively) and the $$C_2\mathcal{T}$$ symmetry-broken state at $$\textit{ν}$$ = –3/4 (one electron per cell). The hexagonal boron nitride substrate drives the ground states at all $$\textit{ν}$$ into $$C_2\mathcal{T}$$ symmetry broken-states. Our results provide good reference points for further study of the rich correlated physics in the twisted bilayer graphene.
- Authors:
-
[1];
- University of Chinese Academy of Sciences, Beijing (China)
- Chinese Academy of Sciences (CAS), Beijing (China); Boston College, Chestnut Hill, MA (United States)
- Boston College, Chestnut Hill, MA (United States)
- Publication Date:
- Research Org.:
- Boston College, Chestnut Hill, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1800971
- Grant/Contract Number:
- FG02-99ER45747; 11674278
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 3; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Zhang, Yi, Jiang, Kun, Wang, Ziqiang, and Zhang, Fuchun. Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.035136.
Zhang, Yi, Jiang, Kun, Wang, Ziqiang, & Zhang, Fuchun. Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study. United States. https://doi.org/10.1103/physrevb.102.035136
Zhang, Yi, Jiang, Kun, Wang, Ziqiang, and Zhang, Fuchun. Mon .
"Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study". United States. https://doi.org/10.1103/physrevb.102.035136. https://www.osti.gov/servlets/purl/1800971.
@article{osti_1800971,
title = {Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study},
author = {Zhang, Yi and Jiang, Kun and Wang, Ziqiang and Zhang, Fuchun},
abstractNote = {Motivated by the recently observed insulating states in twisted bilayer graphene, we study the nature of the correlated insulating phases of the twisted bilayer graphene at commensurate filling fractions. Iin this work, we use the continuum model and project the Coulomb interaction onto the flat bands to study the ground states by using a Hartree-Fock approximation. In the absence of the hexagonal boron nitride substrate, the ground states are the intervalley coherence states at charge neutrality (filling $\textit{ν}$ = 0 , or four electrons per moiré cell) and at $\textit{ν}$ = –1/4 and –1/2 (three and two electrons per cell, respectively) and the $C_2\mathcal{T}$ symmetry-broken state at $\textit{ν}$ = –3/4 (one electron per cell). The hexagonal boron nitride substrate drives the ground states at all $\textit{ν}$ into $C_2\mathcal{T}$ symmetry broken-states. Our results provide good reference points for further study of the rich correlated physics in the twisted bilayer graphene.},
doi = {10.1103/physrevb.102.035136},
journal = {Physical Review. B},
number = 3,
volume = 102,
place = {United States},
year = {Mon Jul 20 00:00:00 EDT 2020},
month = {Mon Jul 20 00:00:00 EDT 2020}
}
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