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Graphene lacks an intrinsic band-gap, which limits its use in electronic applications. Here we demonstrate that periodic arrays of topological defects can open and control a band-gap in a predictable manner governed by defect spacing and…

The adsorption of an alkali-metal submonolayer on graphene occupying every third hexagon of the honeycomb lattice in a commensurate $(\sqrt{3}\times\sqrt{3})R30^\circ$ arrangement induces an energy gap in the spectrum of graphene. To…

Materials Science · Physics 2009-01-27 M. Farjam , H. Rafii-Tabar

Using ab-initio methods, we show that the uniform deformation either leaves graphene (semi)metallic or opens up a small gap yet only beyond the mechanical breaking point of the graphene, contrary to claims in the literature based on…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 I. I. Naumov , A. M. Bratkovsky

Using first-principles calculations of graphene having high-symmetry distortion or defects, we investigate band gap opening by chiral symmetry breaking, or intervalley mixing, in graphene and show an intuitive picture of understanding the…

Materials Science · Physics 2012-12-10 Sung-Hoon Lee , Hyun-Jong Chung , Jinseong Heo , Heejun Yang , Jaikwang Shin , U-In Chung , Sunae Seo

We show that patterned defects can be used to disrupt the sub-lattice symmetry of graphene so as to open up a band gap. This way of modifying graphene's electronic structure does not rely on external agencies, the addition of new elements…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 David J. Appelhans , Zhibin Lin , Mark T. Lusk

We investigate graphene superlattices of nitrogen and boron substitutional defects and by using symmetry arguments and electronic structure calculations we show how such superlattices can be used to modify graphene band structure.…

Materials Science · Physics 2016-11-25 Simone Casolo , Rocco Martinazzo , Gian Franco Tantardini

Symmetry arguments are used to describe all possible two-dimensional periodic corrugations of graphene ("nanomeshes") capable of inducing tangible semiconducting gap. Such nanomeshes or superlattices break the initial graphene translational…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 I. I. Naumov , A. M. Bratkovsky

Periodic $\pi$-vacancies in graphene superlattices (GSLs) provide a symmetry-based route to band-gap opening in graphene by modifying the $\pi$-band dispersion. However, the symmetry conditions that determine whether a vacancy motif can…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Diyan Unmu Dzujah , Hongde Yu , Thomas Heine

Based on first-principles calculations we predict that periodically repeated junctions of armchair graphene nanoribbons of different widths form superlattice structures. In these superlattice heterostructures the width and the energy gap…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Sevincli , M. Topsakal , S. Ciraci

Developing graphene-based nanoelectronics hinges on opening a band gap in the electronic structure of graphene, which is commonly achieved by breaking the inversion symmetry of the graphene lattice via an electric field (gate bias) or…

Materials Science · Physics 2014-06-11 Liangzhi Kou , Feiming Hu , Binghai Yan , Thomas Frauenheim , Changfeng Chen

Monolayer graphene aligned with hexagonal boron nitride (hBN) develops a gap at the charge neutrality point (CNP). This gap has previously been extensively studied by electrical transport through thermal activation measurements. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-04-12 Tianyi Han , Jixiang Yang , Qihang Zhang , Lei Wang , Kenji Watanabe , Takashi Taniguchi , Paul L. McEuen , Long Ju

The structure of finite-area topological defects in graphene is described in terms of both the direct honeycomb lattice and its dual triangular lattice. Such defects are equivalent to cutting out a patch of graphene and replacing it with a…

Materials Science · Physics 2012-03-09 Eric Cockayne

At large commensurate angles, twisted bilayer graphene which holds even parity under sublattice exchange exhibits a tiny gap. Here, we point out a way to tune this tiny gap into a large gap. We start from comprehensive understanding of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Xiu-Cai Jiang , Yi-Yuan Zhao , Yu-Zhong Zhang

We develop a theory of interaction effects in graphene superlattices, where tunable superlattice periodicity can be used as a knob to control the gap at the Dirac point. Applied to graphene on hexa-boron-nitride (G/h-BN), our theory…

Mesoscale and Nanoscale Physics · Physics 2013-12-31 Justin C. W. Song , Andrey V. Shytov , Leonid S. Levitov

Growth of graphene on monolayer transition-metal dichalcogenides presents opening on band gap and giant spin-orbit coupling which paves the way to achieve a useful hybrid structure for electronics and spintronics applications. Increase of…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 S. F. Ebadzadeh , H. Goudarzi , M. Khezerlou

The electronic transmission and conductance of a gapped graphene superlattice were calculated by means of the transfer-matrix method. The system that we study consists of a sequence of electron-doped graphene as wells and hole-doped…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Esmailpour , A. Esmailpour , Reza Asgari , E. Elahi , M. R. Rahimi Tabar

Armchair graphene nanoribbons are a highly promising class of semiconductors for all-carbon nanocircuitry. Here, we present a new perspective on their electronic structure from simple model Hamiltonians and $\textit{ab initio}$…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 Nikita V. Tepliakov , Johannes Lischner , Efthimios Kaxiras , Arash A. Mostofi , Michele Pizzochero

We consider noninteracting fermions on the honeycomb lattice in the presence of a magnetic vortex superlattice. It is shown that depending on the superlattice periodicity, a gap may open at zero energy. We derive an expression of the gap in…

Strongly Correlated Electrons · Physics 2011-10-20 M. Kamfor , S. Dusuel , K. P. Schmidt , J. Vidal

Graphene has shown great application potentials as the host material for next generation electronic devices. However, despite its intriguing properties, one of the biggest hurdles for graphene to be useful as an electronic material is its…

Even though graphene is a low energy system consisting of the two dimensional honeycomb lattice of carbon atoms, its quasi-particle excitations are fully described by the 2+1 dimensional relativistic Dirac equation. In this paper we show…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yugui Yao , Fei Ye , Xiao-Liang Qi , Shou-Cheng Zhang , Zhong Fang
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