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Moiré commensurability and the quantum anomalous Hall effect in twisted bilayer graphene on hexagonal boron nitride

Jingtian Shi, +2 more
- 11 Feb 2021 - 
- Vol. 103, Iss: 7, pp 075122
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TLDR
The quantum anomalous Hall effect occurs in twisted bilayer graphene when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer as discussed by the authors.
Abstract
The quantum anomalous Hall effect sometimes occurs in twisted bilayer graphene when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. The authors argue that the quantum anomalous Hall effect is likely only when the graphene/graphene and graphene/hBN moir\'e patterns are nearly commensurate. This picture gives rise to the series of ``Hall windows'' in the twist-angle space illustrated here.

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Citations
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Journal ArticleDOI

Evidence for unconventional superconductivity in twisted bilayer graphene.

TL;DR: In this article, the tunnelling spectra of magic-angle twisted bilayer graphene (MATBG) were compared with those of a conventional s-wave superconductor with an anisotropic pairing mechanism.
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Low-frequency and Moiré–Floquet engineering: A review

TL;DR: In this article, the authors review recent work on low-frequency Floquet engineering and its application to quantum materials driven by light, focusing on van der Waals systems hosting Moire superlattices.
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Chern mosaic and Berry-curvature magnetism in magic-angle graphene

TL;DR: In this paper , a SQUID-on-tip was used to directly image the nanoscale Berry-curvature-induced equilibrium orbital magnetism, the polarity of which is governed by the local Chern number, and detect its two constituent components associated with the drift and the self-rotation of the electronic wave packets.
Journal ArticleDOI

Band structure and superconductivity in twisted trilayer graphene

TL;DR: In this article, the role of long-range electron-electron interactions near the first magic angle was analyzed in the band structure of twisted trilayer graphene, and superconducting phases with either spin-singlet/valley-triplet or spin-triplets/valleyssinglet symmetry were found with critical temperatures up to a few Kelvin.
Journal ArticleDOI

Flat bands, strains, and charge distribution in twisted bilayer h − BN

TL;DR: In this article, the effect of twisting on bilayer bilayers was studied, and the effects of lattice relaxation on the electronic structure, piezoelectric charges, and spontaneous polarization were investigated.
References
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TL;DR: In this paper, the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations, are discussed.
Journal ArticleDOI

Unconventional superconductivity in magic-angle graphene superlattices

TL;DR: The realization of intrinsic unconventional superconductivity is reported—which cannot be explained by weak electron–phonon interactions—in a two-dimensional superlattice created by stacking two sheets of graphene that are twisted relative to each other by a small angle.
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Solitons in polyacetylene

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Journal ArticleDOI

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices

TL;DR: It is shown experimentally that when this angle is close to the ‘magic’ angle the electronic band structure near zero Fermi energy becomes flat, owing to strong interlayer coupling, and these flat bands exhibit insulating states at half-filling, which are not expected in the absence of correlations between electrons.
Journal ArticleDOI

Moiré bands in twisted double-layer graphene

TL;DR: This work addresses the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moiré pattern periodicity leads to moirÉ Bloch bands.
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