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On the nature of the correlated insulator states in twisted bilayer graphene
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abstract
We use self-consistent Hartree-Fock calculations performed in the full $\pi$-band Hilbert space to assess the nature of the recently discovered correlated insulator states in magic-angle twisted bilayer graphene (TBG). We find that gaps between the flat conduction and valence bands open at neutrality over a wide range of twist angles, sometimes without breaking the system's valley projected ${\cal C}_{2}{\cal T}$ symmetry. Broken spin/valley flavor symmetries then enable gapped states to form not only at neutrality, but also at total moir\'e band filling $n = \pm p/4$ with integer $p = 1, 2, 3$, when the twist angle is close to the magic value at which the flat bands are most narrow. Because the magic-angle flat band quasiparticles are isolated from remote band quasiparticles only for effective dielectric constants larger than $ \sim 20$, the gapped states do not necessarily break \CT symmetry and as a consequence the insulating states at $n = \pm 1/4$ and $n = \pm 3/4$ need not exhibit a quantized anomalous Hall effect.
Forward citations
Cited by 4 Pith papers
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Superconductivity from collective excitations in magic angle twisted bilayer graphene
Collective electronic modes can mediate Cooper pairing in magic-angle twisted bilayer graphene, producing an asymmetric superconducting dome around 10^12 electrons/cm^2 with critical temperatures near a few kelvin.
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Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
Using RPA and cRPA, the authors find twist-angle-dependent screening in magic-angle twisted bilayer graphene, including real-space attractive regions in the RPA interaction and strongly reduced Hubbard parameters.
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Giant Orbital Magneto-electric effect and Current-driven Magnetization Switching in Twisted Bilayer Graphene
A small current in strained, hBN-aligned twisted bilayer graphene is predicted to generate a large out-of-plane orbital magnetization and to switch the ferromagnetic state near 3/4 filling.
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Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
A microscopic calculation shows that the quantum anomalous Hall ferromagnet in twisted bilayer graphene is stable against spin and valley magnons, and that valley wave fluctuations limit the ordering temperature.
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