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Dislocations corresponding to a change of stacking in two-dimensional hexagonal bilayers, graphene and boron nitride, and associated with boundaries between commensurate domains are investigated using the two-chain Frenkel-Kontorova model…

Mesoscale and Nanoscale Physics · Physics 2016-06-14 Irina V. Lebedeva , Alexander V. Lebedev , Andrey M. Popov , Andrey A. Knizhnik

We report on the investigation of periodic superstructures in twisted bilayer graphene (tBLG) van-der-Waals heterostructures, where one of the graphene layers is aligned to hexagonal boron nitride (hBN). Our theoretical simulations reveal…

Quasi-periodic moir\'{e} patterns and their effect on electronic properties of twisted bilayer graphene (TBG) have been intensely studied. At small twist angle $\theta$, due to atomic reconstruction, the moir\'e superlattice morphs into a…

The interlayer interaction in graphene/boron-nitride heterostructures is studied using density functional theory calculations with the correction for van der Waals interactions. It is shown that the use of the experimental interlayer…

Mesoscale and Nanoscale Physics · Physics 2017-08-30 Alexander V. Lebedev , Irina V. Lebedeva , Andrey M. Popov , Andrey A. Knizhnik

Since the discovery of superconductive twisted bilayer graphene which initiated the field of twistronics, moir\'e systems have not ceased to exhibit fascinating properties. We demonstrate that in boron nitride twisted bilayers, for a given…

Materials Science · Physics 2023-03-29 Sylvain Latil , Hakim Amara , Lorenzo Sponza

Interfacial interactions in two parallel-stacked hexagonal boron-nitride (hBN) layers facilitate sliding ferroelectricity, enabling novel device functionalities. Additionally, when Bernal or twisted bilayer graphene is aligned with an hBN…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Tianyu Zhang , Yueyang Wang , Hongxia Xue , Kenji Watanabe , Takashi Taniguchi , Dong-Keun Ki

The recently observed unconventional ferroelectricity in AB bilayer graphene sandwiched by hexagonal Boron Nitride (hBN) presents a new platform to manipulate correlated phases in multilayered van der Waals heterostructures. We present a…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Ziyan Zhu , Stephen Carr , Qiong Ma , Efthimios Kaxiras

Utilizing the established Bistritzer-MacDonald model for twisted bilayer graphene (tBLG), we theoretically investigate the non-Hermitian (NH) topological properties of this in the presence of non-reciprocal (NR) hopping on both layers and…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Kamalesh Bera , Debasish Mondal , Arijit Saha , Debashree Chowdhury

Moir\'e superlattice of twisted hexagonal boron nitride (hBN) has emerged as an advanced atomically thin van der Waals interfacial ferroelectricity platform. Nanoscale periodic ferroelectric moir\'e domains with out-of-plane potentials in…

The relative twist angle in heterostructures of two-dimensional (2D) materials with similar lattice constants result in a dramatic alteration of the electronic properties. Here, we investigate the electrical and magnetotransport properties…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Manabendra Kuiri , Saurabh Kumar Srivastav , Sujay Ray , Kenji Watanabe , Takashi Taniguchi , Tanmoy Das , Anindya Das

Nonlinear Hall-like currents can be generated by a time-periodic alternating bias on two-dimensional (2D) materials lacking inversion symmetry. To hint that the moir\'e between graphene and its supporting substrate contributes to the…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Angiolo Huaman , Salvador Barraza-Lopez

By atomistic modeling of moir{\'e} patterns of graphene on a substrate with a small lattice mismatch, we find qualitatively different strain distributions for small and large misorientation angles, corresponding to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-16 M. M. van Wijk , A. Schuring , M. I. Katsnelson , A. Fasolino

We investigate interlayer adhesion and relaxation at interfaces between graphene and hexagonal boron nitride (hBN) monolayers in van der Waals heterostructures. The adhesion potential between graphene and hBN is calculated as a function of…

A real-space method using generating integers is used to classify the possible moire patterns for two equal hexagonal lattices. The result is that the rotations that take (n,m) to (m,n) with n,m relatively prime form the fundamental moire…

Computational Physics · Physics 2022-11-29 Matthew Ciesler , Damien West , Shengbai Zhang

At very small twist angles, bilayer moir\'e systems exhibit characteristic stacking domain patterns, where the moir\'e length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Kunihiro Yananose , Changwon Park , Young-Woo Son

Van der Waals heterostructures employing graphene and hexagonal boron nitride (hBN) crystals have emerged as a promising platform for plasmonics thanks to the tunability of their collective modes with carrier density and record values for…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Andrea Tomadin , Marco Polini , Jeil Jung

Strain, both naturally occurring and deliberately engineered, can have a considerable effect on the structural and electronic properties of 2D and layered materials. Uniaxial or biaxial heterostrain modifies the stacking arrangement of…

Materials Science · Physics 2022-10-19 Nina C. Georgoulea , Stephen R. Power , Nuala M. Caffrey

Equilibrium interlayer exciton condensation is common in bilayer quantum Hall systems and is characterized by spontaneous phase coherence between isolated layers. It has been predicted that similar physics can occur in the absence of a…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Yongxin Zeng , Allan H. MacDonald , Nemin Wei

We study the structural relaxation and electronic properties of a one-dimensional (1D) moir\'e system composed of a zigzag graphene nanoribbon (GNR) placed on a hexagonal boron nitride (hBN) substrate. Using an effective grid model derived…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Ryosuke Okumura , Naoto Nakatsuji , Takuto Kawakami , Mikito Koshino

When using hexagonal boron-nitride (hBN) as a substrate for graphene, the resulting moir\'e pattern creates secondary Dirac points. By encapsulating a multilayer graphene within aligned hBN sheets the controlled moir\'e stacking may offer…

Mesoscale and Nanoscale Physics · Physics 2023-02-14 Robin Smeyers , Lucian Covaci , Milorad V. Milošević