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The incommensurate stacking of multi-layered two-dimensional materials is a challenging problem from a theoretical perspective and an intriguing avenue for manipulating their physical properties. Here we present a multi-scale model to…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ziyan Zhu , Paul Cazeaux , Mitchell Luskin , Efthimios Kaxiras

Twisted multilayer systems, encompassing materials like twisted bilayer graphene (TBG), twisted trilayer graphene, and twisted bilayer transition metal dichalcogenides, have garnered significant attention in condensed matter physics.…

Materials Science · Physics 2025-06-23 Citian Wang , Huaqing Huang

Electronic structures and their Landau quantizations in twisted graphene bilayer and trilayer are investigated using scanning tunnelling microscopy and spectroscopy. In the twisted trilayer, the top graphene layer and second layer are AB…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Long-Jing Yin , Jia-Bin Qiao , Wei Yan , Rui Xu , Rui-Fen Dou , Jia-Cai Nie , Lin He

The experimental control over the twist angle in twisted bilayer graphene has not been reported and its realistic structure is most likely incommensurate. In this paper, we develop a tight-binding virtual crystal approximation theory to…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 D. Ghader , D. Szczȩśniak , A. Khater

Van der Waals heterostructures obtained by artificially stacking two-dimensional crystals represent the frontier of material engineering, demonstrating properties superior to those of the starting materials. Fine control of the interlayer…

Twisted graphene multilayers have demonstrated to yield a versatile playground to engineer controllable electronic states. Here, by combining first-principles calculations and low-energy models, we demonstrate that twisted graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Alejandro Lopez-Bezanilla , J. L. Lado

Van der Waals (vdW) heterostructures ---formed by stacking or growing two-dimensional (2D) crystals on top of each other--- have emerged as a new promising route to tailor and engineer the properties of 2D materials. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 G. Catarina , B. Amorim , Eduardo V. Castro , J. M. Viana Parente Lopes , N. M. R. Peres

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

The creation of van der Waals heterostructures based on a graphene monolayer and other two-dimensional crystals has attracted great interest because atomic registry of the two-dimensional crystals can modify the electronic spectra and…

Materials Science · Physics 2014-09-09 Wei Yan , Lan Meng , Mengxi Liu , Jia-Bin Qiao , Zhao-Dong Chu , Rui-Fen Dou , Zhongfan Liu , Jia-Cai Nie , Lin He

The van der Waals heterostructures are a fertile frontier for discovering emergent phenomena in condensed matter systems. They are constructed by stacking elements of a large library of two-dimensional materials, which couple together…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 William Dorrell , Harris Pirie , S. Minhal Gardezi , Nathan C. Drucker , Jennifer E. Hoffman

We have used scanning tunneling microscopy and spectroscopy to resolve the spatial variation of the density of states of twisted graphene layers on top of a highly oriented pyrolytic graphite substrate. Owing to the twist a moire pattern…

Turbostratic multilayer graphene, composed of randomly twisted and stacked graphene sheets, offers a naturally disordered yet tunable platform for exploring moir\'e physics beyond tedious artificial stacking. Using scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Mona Garg , Ankit Kumar , Deepti Rana , Anmol Arya , Aswini R , Umesh Waghmare , G. U. Kulkarni , Goutam Sheet

Structural, energetic and tribological characteristics of double-layer graphene with commensurate and incommensurate krypton spacers of nearly monolayer coverage are studied within the van der Waals-corrected density functional theory. It…

The electronic properties of van der Waals (vdW) structures can be substantially modified by the moire superlattice potential, which strongly depends on the twist angle among the compounds. In twisted bilayer graphene (TBG), two low-energy…

Materials Science · Physics 2020-12-02 Ya-Ning Ren , Yu Zhang , Yi-Wen Liu , Lin He

We calculate the properties of a graphene monolayer on the Ir(111) surface, using the model in which the periodicities of the two structures are assumed equal, instead of the observed slight mismatch which leads to a large superperiodic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Brako , D. Sokcevic , P. Lazic , N. Atodiresei

Determining the material properties of layered systems like graphite and bigraphene from \emph{ab initio} calculations is very difficult. This is mostly due to the complex van der Waals forces which help bind the layers. Recently,…

Materials Science · Physics 2014-06-25 Tim Gould , Tomas Bucko , Sebastien Lebegue

Twisted van der Waals (vdW) heterostructures have recently emerged as an attractive platform to study tunable correlated electron systems. However, the quantum mechanical nature of vdW heterostructures makes their theoretical and…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 S. Minhal Gardezi , Harris Pirie , William Dorrell , Jennifer E. Hoffman

Here we show that twisted graphene trilayer made by misoriented stacking a graphene monolayer on top of a Bernal graphene bilayer can exhibit rich and tailored electronic properties. For the case that the graphene monolayer and bilayer are…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Jia-Bin Qiao , Lin He

The interlayer coupling can be used to engineer the electronic structure of van der Waals heterostructures (superlattices) to obtain properties that are not possible in a single material. So far research in heterostructures has been focused…

Control of the interlayer twist angle in two-dimensional (2D) van der Waals (vdW) heterostructures enables one to engineer a quasiperiodic moir\'e superlattice of tunable length scale. In twisted bilayer graphene (TBG), the simple moir\'e…

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