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The possibility to control the commensurability and distance between graphene layers separated by a dielectric spacer is considered by the example of a heterostructure consisting of double-layer graphene separated by atomic layers of argon.…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 Andrey M. Popov , Irina V. Lebedeva , Andrey A. Knizhnik , Yurii E. Lozovik , Boris V. Potapkin

Multilayered van der Waals structures often lack periodicity, which difficults their modeling. Building on previous work for bilayers, we develop a tight-binding based, momentum space formalism capable of describing incommensurate…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 B. Amorim , Eduardo V. Castro

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

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…

Atomically thin van der Waals materials stacked with an interlayer twist have proven to be an excellent platform towards achieving gate-tunable correlated phenomena linked to the formation of flat electronic bands. In this work we…

Interlayer twist between van der Waals graphene crystals led to the discovery of superconducting and insulating states near the magic angle. In this work, we exploit this mechanical degree of freedom by twisting the graphene middle layer in…

Applied Physics · Physics 2019-08-13 Ali Hallal

Motivated by the recent discoveries of superconductivity in bilayer and trilayer graphene, we theoretically investigate superconductivity and other interaction-driven phases in multilayer graphene stacks. To this end, we study the density…

Superconductivity · Physics 2023-03-06 Areg Ghazaryan , Tobias Holder , Erez Berg , Maksym Serbyn

Combining atomically-thin van der Waals materials into heterostructures provides a powerful path towards the creation of designer electronic devices. The interaction strength between neighboring layers, most easily controlled through their…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Matthew Yankowitz , K. Watanabe , T. Taniguchi , Pablo San-Jose , Brian J. LeRoy

Few layer graphene (FLG) has been recently intensively investigated for its variable electronic properties defined by a local atomic arrangement. While the most natural layers arrangement in FLG is ABA (Bernal) stacking, a metastable ABC…

Controlling the stacking and rotational registry of graphene layers provides a powerful handle on atomic-scale structural reconstructions that alter the electronic landscape at the nanoscale. In particular, this governs how massless and…

Graphene, defined as a single atomic plane of graphite, is a semimetal with small overlap between the valence and the conduction bands. The stacking of graphene up to several atomic layers can produce diverse physical properties, depending…

Materials Science · Physics 2019-02-08 Jiliang Zhang , Guangcun Shan

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

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

We investigate the proximity spin-orbit and exchange couplings in ABA and ABC trilayer graphene encapsulated within monolayers of semiconducting transition-metal dichalcogenides and the ferromagnetic semiconductor Cr$_2$Ge$_2$Te$_6$.…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

We formulate a continuum model to study the low-energy electronic structure of heterostructures formed by graphene on a strong three-dimensional topological insulator (TI) for the case of both commensurate and incommensurate stacking. The…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 Junhua Zhang , C. Triola , E. Rossi

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…

We study the electronic structure of alternating-twist tetralayer graphene, especially near its magic angle $\theta = 1.75^\circ$, for different AA, AB, and SP sliding geometries at their middle interface that divides two twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-09-30 Kyungjin Shin , Jiseon Shin , Yoonsung Lee , Hongki Min , Jeil Jung

The properties displayed by graphene at van Hove singularities (VHS) have caught significant attention in recent years. The emergence of exotic quantum states at these singularities prompts investigations on their evolution within the realm…

Strongly Correlated Electrons · Physics 2024-09-24 Yu-Bo Liu , Zhi-Yan Shao , Ye Cao , Fan Yang

Using atomistic simulations we investigate the morphological properties of graphene deposited on top of a nanostructured substrate. Sinusoidally corrugated surfaces, steps, elongated trenches, one dimensional and cubic barriers, spherical…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Neek-Amal , F. M. Peeters

The two-chain Frenkel-Kontorova model is applied for an analytical description of the energy and structure of the network of domain walls in bilayer graphene. Using this approach, the commensurate-incommensurate phase transition upon…

Mesoscale and Nanoscale Physics · Physics 2019-06-27 Irina V. Lebedeva , Andrey M. Popov
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