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The parameters of the triangular domain wall network in bilayer graphene with a simultaneously twisted and biaxially stretched bottom layer are studied using the two-chain Frenkel-Kontorova model. It is demonstrated that if the graphene…

Mesoscale and Nanoscale Physics · Physics 2020-01-30 Irina V. Lebedeva , Andrey M. Popov

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

We investigate the electronic and transport properties of gated bilayer graphene with one corrugated layer, which results in a stacking AB/BA boundary. When a gate voltage is applied to one layer, topologically protected gap states appear…

Materials Science · Physics 2015-09-30 M. Pelc , W. Jaskólski , A. Ayuela , L. Chico

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

Strongly Correlated Electrons · Physics 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras

Bilayer graphene (BLG) with a tunable bandgap appears interesting as an alternative to graphene for practical applications, thus its transport properties are being actively pursued. Using density functional theory and perturbation analysis,…

Materials Science · Physics 2015-05-11 Changwon Park , Junga Ryou , Suklyun Hong , Bobby Sumpter , Gunn Kim , Mina Yoon

Crystallographic alignment between two-dimensional crystals in van der Waals heterostructures brought a number of profound physical phenomena, including observation of Hofstadter butterfly and topological currents, and promising novel…

Bilayer graphene nanoribbon with zigzag edge is investigated with the tight binding model. Two stacking structures, alpha and beta, are considered. The band splitting is seen in the alpha structure, while the splitting in the wave number…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Kikuo Harigaya , Hiroshi Imamura , Katsunori Wakabayashi , Osman Ozsoy

We derive a general relation between the stacking vector ${\bf u}$ describing the relative shift of two layers of bilayer graphene and the Chern index. We find $C = \nu - \text{sign}\left(|V_{AB}|-|V_{BA}|\right)$, where $\nu$ is a valley…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 S. Theil , M. Fleischmann , R. Gupta , F. Wullschläger , S. Sharma , B. Meyer , S. Shallcross

Incomplete stacking dislocations are predicted to form at edges of the shorter upper layer in two-dimensional hexagonal bilayers upon stretching the longer bottom layer. A concept of the edge Burgers vector is introduced to describe such…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov

Stacking two-dimensional layered materials such as graphene and transitional metal dichalcogenides with nonzero interlayer twist angles has recently become attractive because of the emergence of novel physical properties. Stacking of…

Recent experiments [L. Ju et al., Nature, 2015, 520, 650] confirm the existence of gapless states at domain walls created in gated bilayer graphene, when the sublattice stacking is changed from AB to BA. These states are significant because…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Wlodzimierz Jaskolski , Marta Pelc , Leonor Chico , Andres Ayuela

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

Marginally twisted bilayer graphene having small twist angles is predicted to exhibit unique structural and electronic properties, though experimental characterization remains limited. Using scanning tunneling microscopy, we investigate…

$\alpha$-graphyne is a two-dimensional sheet of $sp$-$sp^2$ hybridized carbon atoms in a honeycomb lattice. While the geometrical structure is similar to that of graphene, the hybridized triple bonds give rise to electronic structure that…

Materials Science · Physics 2017-08-04 Hyeondeok Shin , Jeongnim Kim , Hoonkyung Lee , Olle Heinonen , Anouar Benali , Yongkyung Kwon

Twisted 2D layered materials have garnered a lot of attention recently as a class of 2D materials whose interlayer interactions and electronic properties are dictated by the relative rotation / twist angle between the adjacent layers. In…

Drawing inspiration from bilayer graphene, this paper introduces its photonic analog comprising two stacked graphene-like photonic crystals, that are coupled in the near-field through spoof surface plasmons. Beyond the twist degree of…

Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a continuum model for the elastic energy of these bilayer…

Mathematical Physics · Physics 2023-03-28 Paul Cazeaux , Drake Clark , Rebecca Engelke , Philip Kim , Mitchell Luskin

Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular…

Strongly Correlated Electrons · Physics 2020-08-05 Louk Rademaker , Ivan Protopopov , Dmitry Abanin

Spontaneous symmetry-breaking, where the ground state of a system has lower symmetry than the underlying Hamiltonian, is ubiquitous in physics. It leads to multiply-degenerate ground states, each with a different "broken" symmetry labeled…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jonathan S. Alden , Adam W. Tsen , Pinshane Y. Huang , Robert Hovden , Lola Brown , Jiwoong Park , David A. Muller , Paul L. McEuen

The electronic properties of twisted bilayer graphene on SiC substrate were studied via combination of transport measurements and scanning tunneling microscopy. We report the observation of enhanced intervalley scattering from one Dirac…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 Lan Meng , Zhao-Dong Chu , Yanfeng Zhang , Ji-Yong Yang , Rui-Fen Dou , Jia-Cai Nie , Lin He