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Twisted graphene layers exhibit extremely low friction for relative sliding. Nevertheless, previous studies suggest that the area contribution to friction for commensurate moir\'e systems is finite and might restrict macroscopic…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Irina V. Lebedeva , Andrey M. Popov , Yulia G. Polynskaya , Andrey A. Knizhnik , Sergey A. Vyrko , Nikolai A. Poklonski

The potential energy surface (PES) of interlayer interaction of twisted bilayer graphene with vacancies in one of the layers is investigated via density functional theory (DFT) calculations with van der Waals corrections. These calculations…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Alexander S. Minkin , Irina V. Lebedeva , Andrey M. Popov , Andrey A. Knizhnik

The effect of structure relaxation on the potential energy surface (PES) of interlayer interaction of twisted graphene bilayer is studied for a set of commensurate moir\'e systems using the registry-dependent empirical potential of…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Alexander S. Minkin , Irina V. Lebedeva , Andrey M. Popov , Sergey A. Vyrko , Nikolai A. Poklonski , Yurii E. Lozovik

We propose a hypothesis that the potential energy surface (PES) of interlayer interaction in diverse 2D materials can be universally described by the first spatial Fourier harmonics. This statement (checked previously for the interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Alexander V. Lebedev , Irina V. Lebedeva , Andrey M. Popov , Andrey A. Knizhnik , Nikolai A. Poklonski , Sergey A. Vyrko

Incommensurately twisted graphene bilayers are described by long-wavelength theories, but to date such theories exist only at small angles of interlayer rotation. We construct a long wavelength theory without such a restriction, instead…

Mesoscale and Nanoscale Physics · Physics 2014-09-09 Hridis K. Pal , Steven Carter , M. Kindermann

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

Strongly Correlated Electrons · Physics 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras

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 first principles-quality potential energy surface (PES) describing the inter-atomic forces for hydrogen atoms interacting with free-standing graphene. The PES is a high-dimensional neural network potential that has been…

Twisted 2D layered materials have garnered a lot of attention recently as a class of 2D materials whose interlayer interactions and electronic properties are dictated by the relative rotation / twist angle between the adjacent layers. In…

A commensurate-incommensurate phase transition in bilayer graphene is investigated in the framework of the Frenkel-Kontorova model extended to the case of two interacting chains of particles. Analytic expressions are derived to estimate the…

Mesoscale and Nanoscale Physics · Physics 2011-08-11 Andrey M. Popov , Irina V. Lebedeva , Andrey A. Knizhnik , Yurii E. Lozovik , Boris V. Potapkin

Controlling ion transport is a fundamental challenge for advanced energy storage. Bilayer graphene offers a unique platform for modulating ion diffusion via twist-angle-dependent moire superlattices, yet conventional stacking configurations…

Materials Science · Physics 2026-03-31 Gen Fukuzawa , Yebin Lee , Teruyasu Mizoguchi

By using the first-principles method based on density of functional theory, we study the electronic properties of twisted bilayer graphene with some specific twist angles and interlayer spacings. With the decrease of the twist angle(the…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Xun-Wang Yan , Jing Li , Yanyun Wang , Miao Gao

The interlayer energy of the twisting bilayer graphene is investigated by the molecular mechanics method using both the registry-dependent potential and the Lennard-Jones potential. Both potentials show that the interlayer energy is…

Materials Science · Physics 2013-07-12 Jin-Wu Jiang , Bing-Shen Wang , Timon Rabczuk

We investigate the domain wall network in twisted bilayer graphene (TBG) under the influence of interlayer bias and screening effect from the layered structure. Starting from the continuum model, we analyze the low-energy domain wall modes…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Hao-Chien Wang , Chen-Hsuan Hsu

So far the physics of moir\'e graphene bilayers at large, incommensurate rotation angles has been considered uninteresting. It has been held that the interlayer coupling in such structures is weak and the system can be thought of as a pair…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Hridis K. Pal , Stephen Spitz , Markus Kindermann

Twisted graphene layers produce a moir\'e pattern (MP) structure with a predetermined wavelength for given twist angle. However, predicting the membrane corrugation amplitude for any angle other than pure AB-stacked or AA-stacked graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 M. Neek-Amal , P. Xu , D. Qi , P. M. Thibado , L. O. Nyakiti , V. D. Wheeler , R. L. Myers-Ward , C. R. Eddy , D. K. Gaskill , F. M. Peeters

The family of moir\'e materials provides a powerful platform for tuning interlayer couplings via the twist angle in systems with large spatial periodicity. In trilayer graphene systems, interlayer couplings at the two interfaces can…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Wei-En Tseng , Mei-Yin Chou

Magic-angle twisted bilayer graphene is the best studied physical platform featuring moire potential induced narrow bands with non-trivial topology and strong electronic correlations. Despite their significance, the Chern insulating states…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Xiaoyu Wang , Oskar Vafek

This work put forward a comprehensive study of moire pattern in commensurate twisted bilayer graphene (TBG) to determine the connection of moire period with corresponding twist angle. Using the understanding of moire pattern, computational…

Materials Science · Physics 2024-02-14 Veer Pal , Ajay

We study the electronic properties of commensurate faulted bilayer graphene by diagonalizing the one-particle Hamiltonian of the bilayer system in a complete basis of Bloch states of the individual graphene layers. Our novel approach is…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 M. Van der Donck , C. De Beule , B. Partoens , F. M. Peeters , B. Van Duppen
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