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We compare the classification of the electron bands in graphene, obtained by group theory algebra in the framework of tight-binding model (TBM), with that calculated in the density-functional theory (DFT) framework. Identification in the…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 E. Kogan , V. U. Nazarov , V. M. Silkin , M. Kaveh

An existing hyperelastic membrane model for graphene calibrated from ab-initio data (Kumar and Parks, 2014) is adapted to curvilinear coordinates and extended to a rotation-free shell formulation based on isogeometric finite elements.…

Computational Physics · Physics 2018-01-11 Reza Ghaffari , Thang X. Duong , Roger A. Sauer

The electric-field effect on the electronic and magnetic properties of triangular and hexagonal graphene quantum rings with zigzag edge termination is investigated by means of the single-band tight-binding Hamiltonian and the mean-field…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 R. Farghadan , A. Saffarzadeh

Multilayer graphene with rhombohedral and Bernal stacking are supposed to be metallic, as predicted by density functional theory calculations using semi-local functionals. However recent angular resolved photoemission and transport data…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Marco Campetella , Nguyen Minh Nguyen , Jacopo Baima , Lorenzo Maschio , Francesco Mauri , Matteo Calandra

The configuration of graphene (GE) sheet conforming to the spherical surface substrate is studied through theoretical model and molecular simulations. Two basic configurations are observed: fully conformation and wrinkling. The final…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Yanguang Zhou , Yuli Chen , Bin Liu , Zhenyu Yang , Ming Hu , Shengtao Wang , Zeshuai Yuan

Graphene is a realization of an esoteric class of materials -- electronic crystalline membranes. We study the interplay between the free electrons and the two-dimensional crystal, and find that it induces a substantial effect on the elastic…

Materials Science · Physics 2009-03-31 Doron Gazit

The atomic structure of graphene edges is critical in determining the electrical, magnetic, and chemical properties of truncated graphene structures, notably nanoribbons. Unfortunately, graphene edges are typically far from ideal and suffer…

Materials Science · Physics 2013-11-05 Kwanpyo Kim , Sinisa Coh , C. Kisielowski , M. F. Crommie , Steven G. Louie , Marvin L. Cohen , A. Zettl

Graphene, being one-atom thick, is extremely sensitive to the presence of adsorbed atoms and molecules and, more generally, to defects such as vacancies, holes and/or substitutional dopants. This property, apart from being directly usable…

Materials Science · Physics 2011-04-08 Rocco Martinazzo , Simone Casolo , Gian Franco Tantardini

In twisted bilayer graphene (TBLG), extremely small deviations from the magic twist angle $\theta_m{\approx}1.08^\circ$ change its electronic structure near the Fermi level drastically, causing a meV-wide flat band to appear or disappear.…

Mesoscale and Nanoscale Physics · Physics 2018-11-26 Xianqing Lin , Dan Liu , David Tománek

We examine the coexisting spin and charge density waves as a possible ground state of the magic-angle twisted bilayer graphene. When interactions are not included, the spectrum of the material has 4 (8 if spin is taken into account) almost…

Strongly Correlated Electrons · Physics 2023-04-24 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov

The electronic band structure of graphene in the presence of spin-orbit coupling and transverse electric field is investigated from first principles using the linearized augmented plane-wave method. The spin-orbit coupling opens a gap at…

Materials Science · Physics 2013-05-29 M. Gmitra , S. Konschuh , C. Ertler , C. Ambrosch-Draxl , J. Fabian

A theoretical model is presented to compute the electronic band structures and optical absorption spectra for twisted incommensurate few-layers graphene (tLFG) systems of arbitrary architecture. This is accomplished using an integrated…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 D. Ghader , A. Khater , D. Szczȩśniak

We predict the existence of transverse electric (TE) plasmons in bilayer graphene. We find that their plasmonic properties are much more pronounced in bilayer than in monolayer graphene, in a sense that they can get more localized at…

Optics · Physics 2015-05-27 Marinko Jablan , Hrvoje Buljan , Marin Soljačić

General properties of long wavelength triangular graphene superlattice are studied. It is shown that Dirac points with and without gaps can arise at a number of high symmetry points of the Brillouin Zone. The existence of gaps can lead to…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 F. Guinea , T. Low

According to the tight-binding approximation, we investigate the electronic structures of graphene ribbons with zigzag shaped edges (ZGRs) and armchair shaped edges (AGRs) drawn by the tensile force, and obtain the analytic relations…

Strongly Correlated Electrons · Physics 2008-05-01 Yong Wei , Guo-Ping Tong , Sheng Li

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

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

The long spin-diffusion length, spin-lifetimes and excellent optical absorption coefficient of graphene provide an excellent platform for building opto-electronic devices as well as spin-based logic in a nanometer regime. In this study, by…

We have investigated electronic and magnetic properties of graphene nanodisks (nanosize triangular graphene) as well as electromechanical properties of graphene nanojunctions. Nanodisks are nanomagnets made of graphene, which are robust…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Motohiko Ezawa

We investigate topological properties of models that describe graphene on realistic substrates which induce proximity spin-orbit coupling in graphene. A $\mathbb{Z}_2$ phase diagram is calculated for the parameter space of (generally…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Tobias Frank , Petra Högl , Martin Gmitra , Denis Kochan , Jaroslav Fabian