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Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We study a novel type of graphene-based superlattices formed owing to a periodic modulation of the Fermi surface. Such a modulation is possible for graphene deposited on a striped substrate made of materials with substantially different…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 P. V. Ratnikov , A. P. Silin

We study the band structure of graphene's Dirac-Weyl quasi-particles in a one-dimensional magnetic superlattice formed by a periodic sequence of alternating magnetic barriers. The spectrum and the nature of the states strongly depend on the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Luca Dell'Anna , Alessandro De Martino

The electronic transport properties and band structures for the graphene-based one-dimensional (1D) superlattices with periodic squared potentials are investigated. It is found that a new Dirac point is formed, which is exactly located at…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Li-Gang Wang , Shi-Yao Zhu

We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. Using the transfer matrix method, we explicitly determine the dispersion relation in terms of different…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Abdellatif Kamal , El Bouâzzaoui Choubabi , Ahmed Jellal

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

We have studied the electronic properties in aperiodic graphene superlattices of Thue-Morse sequence. Although the structure is aperiodic, an unusual Dirac point (DP) does exist and its location is exactly at the position of the…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Tianxing Ma , Chun Liang , Li-Gang Wang , Hai-Qing Lin

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

A so-called artificial graphene is an artificial material whose low-energy carriers are described by the massless Dirac equation. Applying a periodic potential with triangular symmetry to a two-dimensional electron gas is one way to make…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Pilkwang Kim , Cheol-Hwan Park

Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene -- a honeycomb superlattice imposed on a semiconductor heterostructure -- which hosts the…

Superconductivity · Physics 2020-11-02 Tommy Li , Julian Ingham , Harley D. Scammell

We investigate electronic band-structure images in reciprocal space of few layer graphene epitaxially grown on SiC(000-1). In addition to the observation of commensurate rotation angles of the graphene layers, the k-space images recorded…

Materials Science · Physics 2018-06-19 C. Mathieu , E. H. Conrad , F. Wang , J. E. Rault , V. Feyer , C. M. Schneider , O. Renault , N. Barrett

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

The electronic structure of a crystalline solid is largely determined by its lattice structure. Recent advances in van der Waals solids, artificial crystals with controlled stacking of two-dimensional (2D) atomic films, have enabled the…

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

Strain engineering of graphene takes advantage of one of the most dramatic responses of Dirac electrons enabling their manipulation via strain-induced pseudo-magnetic fields. Numerous theoretically proposed devices, such as resonant…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 R. Banerjee , V. -H. Nguyen , T. Granzier-Nakajima , L. Pabbi , A. Lherbier , A. R. Binion , J. -C. Charlier , M. Terrones , E. W. Hudson

Semiconductor superlattices may display dispersions that are degenerate either at the zone center or zone boundary. We show that they are linear upon the wave-vector in the vicinity of the crossing point. This establishes a realisation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Francesca Carosella , Andreas Wacker , Robson Ferreira , Gérald Bastard

The Schr\"odinger equation dictates that the propagation of nearly free electrons through a weak periodic potential results in the opening of band gaps near points of the reciprocal lattice known as Brillouin zone boundaries. However, in…

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

We demonstrate that graphene-based photonic superlattices provide a versatile platform for electrical and all-optical control of photonic beams with deep-subwavelength accuracy. Specifically, by inserting graphene sheets into periodic…

We study tunneling across a strain-induced superlattice in graphene. In studying the effect of applied strain on the low-lying Dirac-like spectrum, both a shift of the Dirac points in reciprocal space, and a deformation of the Dirac cones…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci