Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study
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. We use the continuum model and project the Coulomb interaction onto the flat bands to study the...
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| Veröffentlicht in: | Physical review. B 2020-07, Vol.102 (3), p.1, Article 035136 |
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| creator | Zhang, Yi Jiang, Kun Wang, Ziqiang Zhang, Fuchun |
| description | 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. 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 ν = 0 , or four electrons per moiré cell) and at ν = − 1 / 4 and − 1 / 2 (three and two electrons per cell, respectively) and the C2T symmetry-broken state at ν = − 3 / 4 (one electron per cell). The hexagonal boron nitride substrate drives the ground states at all ν into C2T symmetry broken-states. Our results provide good reference points for further study of the rich correlated physics in the twisted bilayer graphene. |
| doi_str_mv | 10.1103/PhysRevB.102.035136 |
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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 ν = 0 , or four electrons per moiré cell) and at ν = − 1 / 4 and − 1 / 2 (three and two electrons per cell, respectively) and the C2T symmetry-broken state at ν = − 3 / 4 (one electron per cell). The hexagonal boron nitride substrate drives the ground states at all ν into C2T symmetry broken-states. Our results provide good reference points for further study of the rich correlated physics in the twisted bilayer graphene.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.102.035136</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Bilayers ; Boron nitride ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Continuum modeling ; Correlation analysis ; Electrons ; Graphene ; Ground state ; Hartree approximation ; Materials Science ; Physics ; Substrates ; Symmetry</subject><ispartof>Physical review. 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| source | American Physical Society Journals |
| subjects | Bilayers Boron nitride CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Continuum modeling Correlation analysis Electrons Graphene Ground state Hartree approximation Materials Science Physics Substrates Symmetry |
| title | Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: A Hartree-Fock study |
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