Twisted Bilayer Graphene: Moiré with a Twist

Dai, Shuyang; Xiang, Yang; Srolovitz, David J.

doi:10.1021/acs.nanolett.6b02870

Cited by 223 publications

(198 citation statements)

References 24 publications

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“…24. They include experiments of TiO x ordering on Au(111) surfaces [61,62], simulations of Au on Ru(0001) [63] and in misoriented graphene bilayers [64]. In addition to these system twisted 2D moiré patterns have also been observed in surface [62]).…”

Section: Comparison With Experimentsmentioning

confidence: 99%

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Striped, honeycomb, and twisted moiré patterns in surface adsorption systems with highly degenerate commensurate ground states

et al. 2017

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Section: Comparison With Experimentsmentioning

confidence: 99%

“…(c) Patterns observed in misoriented graphene bilayers taken from Ref. [64]. (d) Surface reconstruction of Au(111) after exposing the surface to Gd for approximately 20 s, taken from Ref.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

Striped, honeycomb, and twisted moiré patterns in surface adsorption systems with highly degenerate commensurate ground states

et al. 2017

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“…Recently, out-of-plane ripples in bilayer graphene have been detected and investigated via TEM [37,38] and the combination of dark-field TEM with scanning transmission electron microscopy (STEM) [39]. The buckling effect in bilayer graphene has also been studied using computer simulations [40,41,42].…”

Section: Introductionmentioning

confidence: 99%

Structure of twisted and buckled bilayer graphene

Jain¹,

Juričić²,

Barkema³

2016

2D Mater.

119

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Abstract. We study the atomic structure of twisted bilayer graphene, with very small mismatch angles (θ ∼ 0.28 0 ), a topic of intense recent interest. We use simulations, in which we combine a recently presented semi-empirical potential for single-layer graphene, with a new term for out-of-plane deformations, [Jain et al., J. Phys. Chem. C, 119, 2015] and an often-used interlayer potential [Kolmogorov et al., Phys. Rev. B, 71, 2005]. This combination of potentials is computationally cheap but accurate and precise at the same time, allowing us to study very large samples, which is necessary to reach very small mismatch angles in periodic samples. By performing large scale atomistic simulations, we show that the vortices appearing in the Moiré pattern in the twisted bilayer graphene samples converge to a constant size in the thermodynamic limit. Furthermore, the well known sinusoidal behavior of energy no longer persists once the misorientation angle becomes very small (θ < 1 0 ). We also show that there is a significant buckling after the relaxation in the samples, with the buckling height proportional to the system size. These structural properties have direct consequences on the electronic and optical properties of bilayer graphene.

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“…The real TBG is not a simple stack of rigid graphene layers as assumed in the previous section, but it has a spontaneous lattice relaxation and resulting AB/BA domain formation [31][32][33]35,[45][46][47][48][49][50][51][52][53] . Such a structural deformation modifies the electronic band structure 19,20,35,44,50,[52][53][54] .…”

Section: Effect Of Lattice Relaxationmentioning

confidence: 99%

Perfect one-dimensional chiral states in biased twisted bilayer graphene

Tsim

Nam²,

Koshino

2020

Phys. Rev. B

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We theoretically study the electronic structure of small-angle twisted bilayer graphene with a large potential asymmetry between the top and bottom layers. We show that the emergent topological channels known to appear on the triangular AB-BA domain boundary do not actually form a percolating network, but instead they provide independent, perfect one-dimensional eigenmodes propagating in three different directions. Using the continuum-model Hamiltonian, we demonstrate that an applied bias causes two well-defined energy windows which contain sparsely distributed one-dimensional eigenmodes. The origin of these energy windows can be understood using a twoband model of the intersecting electron and hole bands of single layer graphene. We also use the tight-binding model to implement the lattice deformations in twisted bilayer graphene, and discuss the effect of lattice relaxation on the one-dimensional eigenmodes. arXiv:2001.06257v2 [cond-mat.mes-hall]

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Twisted Bilayer Graphene: Moiré with a Twist

Cited by 223 publications

References 24 publications

Striped, honeycomb, and twisted moiré patterns in surface adsorption systems with highly degenerate commensurate ground states

Striped, honeycomb, and twisted moiré patterns in surface adsorption systems with highly degenerate commensurate ground states

Structure of twisted and buckled bilayer graphene

Perfect one-dimensional chiral states in biased twisted bilayer graphene

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