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The electronic bands of twisted bilayer graphene (TBLG) with a large-period moir\'e superlattice fracture to form narrow Bloch minibands that are spectrally isolated by forbidden energy gaps from remote dispersive bands. When these gaps are…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Vo Tien Phong , E. J. Mele

Twisted bilayer systems with discrete magic angles, such as twisted bilayer graphene featuring moir\'{e} superlattices, provide a versatile platform for exploring novel physical properties. Here, we discover a class of superflat bands in…

Optics · Physics 2022-05-31 Hongfei Wang , Shaojie Ma , Shuang Zhang , Dangyuan Lei

Atomically thin materials offer multiple opportunities for layer-by-layer control of their electronic properties. While monolayer graphene (MLG) is a zero-gap system, Bernal-stacked bilayer graphene (BLG) acquires a finite band gap when the…

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

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

Pristine bilayer graphene behaves in some instances as an insulator with a transport gap of a few meV. This behaviour has been interpreted as the result of an intrinsic electronic instability induced by many-body correlations. Intriguingly,…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 P. San-Jose , R. V. Gorbachev , A. K. Geim , K. S. Novoselov , F. Guinea

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

The nature of the insulating and superconducting states in twisted bilayer graphene systems is intensely debated. While many works seek for explanations in the few flat bands near the Fermi level, theory and a number of experiments suggest…

Strongly Correlated Electrons · Physics 2019-11-06 Lennart Klebl , Carsten Honerkamp

We investigate the effect of shear and strain in graphene bilayers, under conditions where the distortion of the lattice gives rise to a smooth one-dimensional modulation in the stacking sequence of the bilayer. We show that strain and…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 J. Gonzalez

We show that topology of the low-energy band structure in bilayer graphene critically depends on mechanical deformations of the crystal which may easily develop in suspended graphene flakes. We describe the Lifshitz transition that takes…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Marcin Mucha-Kruczynski , Igor L. Aleiner , Vladimir I. Fal'ko

Rotated graphene multilayers form a new class of graphene related systems with electronic properties that drastically depend on the rotation angles. It has been shown that bilayers behave like two isolated graphene planes for large rotation…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 G. Trambly de Laissardière , D. Mayou , L. Magaud

The two-dimensional electron gas in a bilayer graphene in the Bernal stacking supports a variety of uniform broken-symmetry ground states in Landau level N=0 at integer filling factors $\nu \in [-3,4].$ When an electric potential difference…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 R. Cote , J. P. Fouquet , Wenchen Luo

The electronic properties of graphene superlattices have attracted intense interest that was further stimulated by the recent observation of novel many-body states at "magic" angles in twisted bilayer graphene (BLG). For very small…

In this paper, we systematically investigate the structural and electronic properties of twisted h-BN bilayers to understand the role of the twisting angle. Using first-principles methods with relaxation taken into account, we simulate h-BN…

Materials Science · Physics 2025-08-13 Diem Thi-Xuan Dang , Dai-Nam Le , Lilia M. Woods

We present a compositional and structural investigation of silicene, germanene, and stanene bilayers from first-principles. Due to the staggering of the individual layers, several stacking patterns are possible, most of which are not…

Materials Science · Physics 2019-06-26 Adrian Popescu , Pablo Rodriguez-Lopez , Lilia M. Woods

We show that delaminations in bilayer graphene (BLG) with electrostatically induced interlayer asymmetry can provide one with ballistic channels for electrons with energies inside the electrostatically induced BLG gap. These channels are…

Mesoscale and Nanoscale Physics · Physics 2018-01-18 T. L. M. Lane , M. Anđelković , J. R. Wallbank , L. Covaci , F. M. Peeters , V. I. Fal'ko

Several numerical studies have shown that the electronic properties of twisted bilayers of graphene (TBLG) and transition metal dichalcogenides (TMDs) are tunable by strain engineering of the stacking layers. In particular, the flatness of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Marwa Mannaï , Sonia Haddad

We study the effect of spatial modulations in the interlayer hopping of graphene bilayers, such as those that arise upon shearing or twisting. We show that their single-particle physics, characterized by charge accumulation and recurrent…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pablo San-Jose , Jose Gonzalez , Francisco Guinea

We study the stability and electronic structure of magic-angle twisted bilayer graphene on the hexagonal boron nitride (TBG/BN). Full relaxation has been performed for commensurate supercells of the heterostructures with different twist…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Xianqing Lin , Kelu Su , Jun Ni

Long-period moir\'e superlattices at the twisted interface of van der Waals heterostructures relax into preferential-stacking domains separated by dislocation networks. Here, we develop a mesoscale theory for dislocations in the networks…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 V. V. Enaldiev