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Controlling the electronic structure of two-dimensional materials using the combination of twist angle and electrostatic doping is an effective means to induce emergent phenomena. In bilayer graphene with an interlayer twist angle near the…

We theoretically investigate the electronic structures of moir\'{e} superlattices arising in monolayer / bilayer graphene stacked on hexagonal boron nitride (hBN) in presence and absence of magnetic field. We develop an effective continuum…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Pilkyung Moon , Mikito Koshino

We use a tight binding approach and density functional theory calculations to study the band structure of graphene/hexagonal boron nitride bilayer system in the most stable configuration. We show that an electric field applied in the…

Materials Science · Physics 2010-11-10 J. Slawinska , I. Zasada , Z. Klusek

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

The band structures of strained graphene nanoribbons (GNRs) are examined by a tight binding Hamiltonian that is directly related to the type and strength of strains. Compared to the two-dimensional graphene whose band gap remains close to…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Yang Lu , Jing Guo

We experimentally study the propagation of microwaves in an artificial honeycomb lattice made of dielectric resonators. This evanescent propagation is well described by a tight-binding model, very much like the propagation of electrons in…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

Proximity orbital and spin-orbital effects of graphene on monolayer transition-metal dichalcogenides (TMDCs) are investigated from first-principles. The Dirac band structure of graphene is found to lie within the semiconducting gap of TMDCs…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Martin Gmitra , Denis Kochan , Petra Högl , Jaroslav Fabian

The interaction between a graphene layer and a hexagonal Boron Nitride (hBN) substrate induces lateral displacements and strains in the graphene layer. The displacements lead to the appearance of commensurate regions and the existence of an…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Pablo San-Jose , Ángel Gutiérrez , Mauricio Sturla , Francisco Guinea

Devising ways of opening a band gap in graphene to make charge-carrier masses finite is essential for many applications. Recent experiments with graphene on hexagonal boron nitride (h-BN) offer tantalizing hints that the weak interaction…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Menno Bokdam , Taher Amlaki , Geert Brocks , Paul J. Kelly

Rational design of artificial lattices yields effects unavailable in simple solids, and vertical superlattices of multilayer semiconductors are already used in optical sensors and emitters. Manufacturing lateral superlattices remains a much…

We present electronic transport measurements through short and narrow (30x30 nm) single layer graphene constrictions on a hexagonal boron nitride substrate. While the general observation of Coulomb-blockade is compatible with earlier work,…

Mesoscale and Nanoscale Physics · Physics 2015-01-30 Dominik Bischoff , Florian Libisch , Joachim Burgdörfer , Thomas Ihn , Klaus Ensslin

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

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

Interference of double moire patterns of graphene (G) encapsulated by hexagonal boron nitride (BN) can alter the electronic structure features near the primary/secondary Dirac points and the electron-hole symmetry introduced by a single…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Nicolas Leconte , Jeil Jung

We study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Brey , H. A. Fertig

A periodic spatial modulation, as created by a moir\'e pattern, has been extensively studied with the view to engineer and tune the properties of graphene. Graphene encapsulated by hexagonal boron nitride (hBN) when slightly misaligned with…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 M. Anđelković , S. P. Milovanović , L. Covaci , F. M. Peeters

The adhesion of graphene on slightly lattice-mismatched surfaces, for instance of hexagonal boron nitride (hBN) or Ir(111), gives rise to a complex landscape of sublattice symmetry-breaking potentials for the Dirac fermions. Whereas a gap…

Materials Science · Physics 2015-06-03 Carmine Ortix , Liping Yang , Jeroen van den Brink

We present a tight binding theory of the Dirac point resonances due to adsorbed atoms and molecules on an infinite 2D graphene sheet based on the standard tight binding model of the graphene p-band electronic structure and the extended…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 S. Ihnatsenka , G. Kirczenow

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras