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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

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

Electrical properties of multi-layer graphene are subject to variations due to random interlayer alignments. In this work we reported graphene interlayer conductance without special layer aligning. Ohmic contacts between two graphene layers…

Mesoscale and Nanoscale Physics · Physics 2016-10-07 Yin Sun , Xintong Zhang , Longyan Wang , Lining Zhang , Salahuddin Raju , Mansun Chan

Most non-ferroelectric two-dimensional materials can be endowed with so-called sliding ferroelectricity via non-equivalent homo-bilayer stacking, which is not applicable to mono-element systems like pure graphene bilayer with inversion…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Liu Yang , Shiping Ding , Jinhua Gao , Menghao Wu

We investigate the topological properties of Floquet-engineered twisted bilayer graphene above the magic angle driven by circularly polarized laser pulses. Employing a full Moir\'e-unit-cell tight-binding Hamiltonian based on…

Materials Science · Physics 2019-09-30 Gabriel E. Topp , Gregor Jotzu , James W. McIver , Lede Xian , Angel Rubio , Michael A. Sentef

Twisted bilayer graphene (tBLG) has recently emerged as a platform for hosting correlated phenomena, owing to the exceptionally flat band dispersion that results near interlayer twist angle $\theta\approx1.1^\circ$. At low temperature a…

Strongly Correlated Electrons · Physics 2019-10-03 H. Polshyn , M. Yankowitz , S. Chen , Y. Zhang , K. Watanabe , T. Taniguchi , C. R. Dean , A. F. Young

We consider the orbital effect of an in-plane magnetic field on electrons in bilayer graphene, deriving linear-in-field contributions to the low-energy Hamiltonian arising from the presence of either skew interlayer coupling or interlayer…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Narjes Kheirabadi , Edward McCann , Vladimir I. Fal'ko

Angle disorder is an intrinsic feature of twisted bilayer graphene and other moir\'e materials. Here, we discuss electron transport in twisted bilayer graphene in the presence of angle disorder. We compute the local density of states and…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Héctor Sainz-Cruz , Tommaso Cea , Pierre A. Pantaleón , Francisco Guinea

We present efficient angle-dependent low-energy Hamiltonians to describe the properties of the twisted bilayer graphene (tBLG) heterostructure, based on {\it ab initio} calculations of mechanical relxation and electronic structure. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Shiang Fang , Stephen Carr , Ziyan Zhu , Daniel Massatt , Efthimios Kaxiras

The electronic properties of twisted bilayer graphene (TBG) can be dramatically different from those of a single graphene layer, in particular when the two layers are rotated relative to each other by a small angle. TBG has recently…

Motivated by recent experiments probing the wavefunctions of magic-angle twisted bilayer graphene (tBLG), we perform large-scale first-principles calculations of tBLG with full atomic relaxation across a wide range of twist angles down to…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Albert Zhu , Daniel Bennett , Daniel T. Larson , Mohammed M. Al Ezzi , Efstratios Manousakis , Efthimios Kaxiras

Nanofluidics is pivotal in fundamental research and diverse applications, from water desalination to energy harvesting and biological analysis. Dynamically manipulating nanofluidic properties, such as diffusion and friction, presents an…

Chemical Physics · Physics 2023-12-13 Chenxing Liang , Narayana R Aluru

Twisted bilayer graphene (TBG) is known to have disorder in its twist angle. We show that in terms of a Dirac equation with a random gauge potential ${\bf A}({\bf r})$ this disorder becomes huge when the average twist angle is near the…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Baruch Horovitz , Pierre Le Doussal

According to electronic structure theory, bilayer graphene is expected to have anomalous electronic properties when it has long-period moir\'e patterns produced by small misalignments between its individual layer honeycomb lattices. We have…

Strongly correlated and topological phases in moir\'e materials are exquisitely sensitive to lattice geometry at both atomic and superlattice length scales. Twist angle, pressure, and strain directly modify the lattice, and thus act as…

Mesoscale and Nanoscale Physics · Physics 2025-05-16 Xuetao Ma , Zhaoyu Liu , Jiaqi Cai , Kenji Watanabe , Takashi Taniguchi , Xiaodong Xu , Jiun-Haw Chu , Matthew Yankowitz

Understanding the normal-metal state transport in twisted bilayer graphene near magic angle is of fundamental importance as it provides insights into the mechanisms responsible for the observed strongly correlated insulating and…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Indra Yudhistira , Nilotpal Chakraborty , Derek Y. H. Ho , Michael S. Fuhrer , Giovanni Vignale , Shaffique Adam

We theoretically investigated phonon dispersion in AA-stacked, AB-stacked and twisted bilayer graphene with various rotation angles. The calculations were performed using the Born-von-Karman model for the intra-layer atomic interactions and…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Alexandr I. Cocemasov , Denis L. Nika , Alexander A. Balandin

We present a theoretical study of the local optical conductivity, plasmon spectra, and thermoelectric properties of twisted bilayer graphene (TBG) at different filling factors and twist angles $\theta$. Our calculations are based on the…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Pietro Novelli , Iacopo Torre , Frank H. L. Koppens , Fabio Taddei , Marco Polini

Interlayer coupling in rotationally faulted graphene multilayers breaks the local sublattice-symmetry of the individual layers. Earlier we have presented a theory of this mechanism, which reduces to an effective Dirac model with…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Kindermann , P. N. First

Twisted bilayer materials have attracted tremendous attention due to their unique and novel properties. Here, we derive a thermodynamic model for twisted bilayer graphene (tBLG) within the framework of the classical statistical mechanics,…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Weidong Yan , Langquan Shui , Wengen Ouyang , Ze Liu