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Results from first principles density functional theory (DFT) calculations and classical molecular dynamics (CMD) simulations are presented on moire-corrugation of graphene (gr). We find that the moire-corrugated graphene could be…

Materials Science · Physics 2014-03-11 P. Süle

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…

The creation of moir\'e superlattices in twisted bilayers of two-dimensional crystals has been utilised to engineer quantum material properties in graphene and transition metal dichalcogenide (TMD) semiconductors. Here, we examine the…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 J. G. McHugh , V. V. Enaldiev , V. I. Fal'ko

We present a new semi-empirical potential for graphene, which includes also an out-of-plane energy term. This novel potential is developed from density functional theory (DFT) calculations for small numbers of atoms, and can be used for…

Materials Science · Physics 2015-10-29 Sandeep K. Jain , Gerard T. Barkema , Normand Mousseau , Chang-Ming Fang , Marijn A. van Huis

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

We present a comprehensive first-principles study of twisted bilayer graphene (tBLG) for a wide range of twist angles, with a focus on structural and electronic properties. By employing density functional theory (DFT) with an optimized…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Albert Zhu , Daniel Bennett , Daniel T. Larson , Mohammed M. Al Ezzi , Efstratios Manousakis , Efthimios Kaxiras

The incommensurate 30$^{\circ}$ twisted bilayer graphene (BG) possesses both relativistic Dirac fermions and quasiperiodicity with 12-fold rotational symmetry arising from the interlayer interaction…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Guodong Yu , Yunhua Wang , Mikhail I. Katsnelson , Hai-Qing Lin , Shengjun Yuan

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…

We investigate the effects of single, multiple, and extended defects in the form of non-magnetic impurities and vacancies in twisted bilayer graphene (TBG) at and away from the magic angle, using a fully atomistic model and focusing on the…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 Lucas Baldo , Tomas Löthman , Patric Holmvall , Annica M. Black-Schaffer

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 explore the rotational degree of freedom between graphene layers via the simple prototype of the graphene twist bilayer, i.e., two layers rotated by some angle $\theta$. It is shown that, due to the weak interaction between graphene…

Materials Science · Physics 2015-03-13 S. Shallcross , S. Sharma , E. Kandelaki , O. A. Pankratov

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

We outline a Kohn-Sham-Dirac density-functional-theory (DFT) scheme for graphene sheets that treats slowly-varying inhomogeneous external potentials and electron-electron interactions on an equal footing. The theory is able to account for…

Strongly Correlated Electrons · Physics 2008-09-23 Marco Polini , Andrea Tomadin , Reza Asgari , A. H. MacDonald

By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals.…

Strongly Correlated Electrons · Physics 2025-01-07 Mohammed M. Al Ezzi , Gayani N. Pallewela , Christophe De Beule , E. J. Mele , Shaffique Adam

Both van der Waals corrected density functional theory and classical calculations show that the potential relief of interaction energy between layers of graphite and few-layer graphene can be described by a simple expression containing only…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Andrey M. Popov , Irina V. Lebedeva , Andrey A. Knizhnik , Yurii E. Lozovik , Boris V. Potapkin

We demonstrate that a single layer of graphene subject to a superlattice potential nearly commensurate to a $\sqrt{3} \times \sqrt{3}$ supercell exactly maps to the chiral model of twisted bilayer graphene, albeit with half as many degrees…

Mesoscale and Nanoscale Physics · Physics 2024-01-18 Valentin Crépel , Aaron Dunbrack , Daniele Guerci , John Bonini , Jennifer Cano

Intralayer deformation in van der Waals (vdW) heterostructures is generally assumed to be negligible due to the weak nature of the interactions between the layers, especially when the interfaces are found incoherent. In the present work,…

Materials Science · Physics 2018-07-18 Benoit Van Troeye , Aurélien Lherbier , Jean-Christophe Charlier , Xavier Gonze

We derive electronic structure models for weakly interacting bilayers such as graphene-graphene and graphene-hexagonal boron nitride, based on density functional theory calculations followed by Wannier transformation of electronic states.…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Shiang Fang , Efthimios Kaxiras

We study the electronic and topological properties of fully relaxed twisted bilayer (TBG) and double bilayer (TDBG) graphene under perpendicular pressure. An approach has been proposed to obtain the equilibrium in-plane structural…

Mesoscale and Nanoscale Physics · Physics 2020-07-20 Xianqing Lin , Haotian Zhu , Jun Ni

We investigate the effects of lithium intercalation in twisted bilayers of graphene, using first-principles electronic structure calculations. To model this system we employ commensurate supercells that correspond to twist angles of…

Mesoscale and Nanoscale Physics · Physics 2020-02-11 Daniel T. Larson , Stephen Carr , Georgios A. Tritsaris , Efthimios Kaxiras