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Band structure of twisted bilayer graphene on hexagonal boron nitride

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TLDR
In this article, the effect of hexagonal boron nitride (hBN) layer closely aligned with twisted bilayer graphene (TBG) was studied. And they found that for a realistic combination of the twist angle in the TBG and the twisted angle between the hBN and the graphene layer, the system can be described using a single moir\'e unit cell.
Abstract
The effect of a hexagonal boron nitride (hBN) layer closely aligned with twisted bilayer graphene (TBG) is studied. At sufficiently low angles between twisted bilayer graphene and hBN, ${\ensuremath{\theta}}_{hBN}\ensuremath{\lesssim}{2}^{\ensuremath{\circ}}$, the graphene electronic structure is strongly disturbed. The width of the low-energy peak in the density of states changes from $W\ensuremath{\sim}5--10$ meV for a decoupled system to $\ensuremath{\sim}20--30$ meV. Spikes in the density of states due to van Hove singularities are smoothed out. We find that for a realistic combination of the twist angle in the TBG and the twist angle between the hBN and the graphene layer the system can be described using a single moir\'e unit cell.

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Citations
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Intrinsic Quantized Anomalous Hall Effect in a Moiré Heterostructure, Part III: Scanning Probe Magnetometry

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Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene

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

TL;DR: 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.
Journal ArticleDOI

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.
References
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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.
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.
Journal Article

Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices

TL;DR: In this article, the effects of the twist angle between different layers in a van der Waals heterostructure have been investigated and it was shown 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.
Journal ArticleDOI

Tuning superconductivity in twisted bilayer graphene.

TL;DR: This study demonstrates twisted bilayer graphene to be a distinctively tunable platform for exploring correlated states by inducing superconductivity at a twist angle larger than 1.1°—in which correlated phases are otherwise absent—by varying the interlayer spacing with hydrostatic pressure.
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