High transmission in twisted bilayer graphene with angle disorder
Héctor Sainz-Cruz,Tommaso Cea,Pierre A. Pantaleón,Francisco Guinea,Francisco Guinea,Francisco Guinea +5 more
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TLDR
In this paper, the local density of states and the Landauer-Buttiker transmission through an angle disorder barrier with a width comparable to the moir\'e period were computed using a decimation technique based on real-space description.Abstract:
Angle disorder is an intrinsic feature of twisted bilayer graphene and other moir\'e materials. Here, we discuss electron transport in twisted bilayer graphene in the presence of angle disorder. We compute the local density of states and the Landauer-B\"uttiker transmission through an angle disorder barrier with a width comparable to the moir\'e period, using a decimation technique based on a real-space description. We find that barriers which separate regions where the widths of the bands differ by $50%$ or more lead to a minor suppression of the transmission and that the transmission is close to 1 for normal incidence, which is reminiscent of Klein tunneling. These results suggest that transport in twisted bilayer graphene is weakly affected by twist angle disorder.read more
Citations
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Reproducibility in the fabrication and physics of moiré materials
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Why the first magic-angle is different from others in twisted graphene bilayers: Interlayer currents, kinetic and confinement energy, and wave-function localization
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First-principles study on the heterostructure of twisted graphene/hexagonal boron nitride/graphene sandwich structure
TL;DR: In this article , the first principles method of density functional theory was used to study the band structure, density of states, Mulliken population, and differential charge density of a tightly packed model of twisted bilayer-graphene.
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Moiré disorder effect in twisted bilayer graphene
TL;DR: In this article , the authors theoretically study the electronic structure of magic-angle twisted bilayer graphene with disordered moir\'e patterns, and they find that the local density of states of the flat band is hardly broadened, but splits into upper and lower subbands in most places.
References
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Unconventional superconductivity in magic-angle graphene superlattices
Yuan Cao,Valla Fatemi,Shiang Fang,Kenji Watanabe,Takashi Taniguchi,Efthimios Kaxiras,Pablo Jarillo-Herrero +6 more
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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Chiral tunnelling and the Klein paradox in graphene
TL;DR: In this paper, it was shown that the Klein paradox can be tested in a conceptually simple condensed-matter experiment using electrostatic barriers in single and bi-layer graphene, showing that quantum tunnelling in these materials becomes highly anisotropic, qualitatively different from the case of normal, non-relativistic electrons.
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Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
Yuan Cao,Valla Fatemi,Ahmet Demir,Shiang Fang,Spencer Tomarken,Jason Luo,Javier Sanchez-Yamagishi,Kenji Watanabe,Takashi Taniguchi,Efthimios Kaxiras,Raymond Ashoori,Pablo Jarillo-Herrero +11 more
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.
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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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Tuning superconductivity in twisted bilayer graphene.
Matthew Yankowitz,Shaowen Chen,Hryhoriy Polshyn,Yuxuan Zhang,Kenji Watanabe,Takashi Taniguchi,David Graf,Andrea Young,Cory Dean +8 more
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.