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Graphene has emerged as an electronic material that is promising for device applications and for studying two-dimensional electron gases with relativistic dispersion near two Dirac points. Nonetheless, deviations from Dirac-like…

Materials Science · Physics 2009-07-23 M. L. Teague , A. P. Lai , J. Velasco , C. R. Hughes , A. D. Beyer , M. W. Bockrath , C. N. Lau , N. -C. Yeh

We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Ming-Hao Liu , Christophe De Beule , Alina Mreńca-Kolasińska , Hsin-You Wu , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter

Using the first principles calculations, we show that mechanically tunable electronic energy gap is realizable in bilayer graphene if different homogeneous strains are applied to the two layers. It is shown that the size of energy gap can…

Mesoscale and Nanoscale Physics · Physics 2010-09-13 Seon-Myeong Choi , Seung-Hoon Jhi , Young-Woo Son

There are a number of theoretical proposals based on strain engineering of graphene and other two-dimensional materials, however purely mechanical control of strain fields in these systems has remained a major challenge. The two approaches…

The sharp Dirac cone of the electronic dispersion confers to graphene a remarkable sensitivity to strain. It is usually encoded in scalar and pseudo-vector potentials, induced by the modification of hopping parameters, which have given rise…

This paper is devoted to the inverse design of strained graphene surfaces for the control of electrons in the semi-classical optical-like regime. Assuming that charge carriers are described by the Dirac equation in curved-space and…

Mesoscale and Nanoscale Physics · Physics 2021-12-03 E. Lorin , F. Fillion-Gourdeau , S. Maclean

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 present a molecular modeling study analyzing nanometer-scale strain variations in graphene as a function of externally applied tensile strain. We consider two different mechanisms that could underlie nanometer-scale strain variations:…

Mesoscale and Nanoscale Physics · Physics 2016-05-30 G. J. Verbiest , C. Stampfer , S. E. Huber , M. Andersen , K. Reuter

The interplay of twist and strain in bilayer graphene enables the formation of moir\'e patterns and narrow bands that host correlated and topological phases. While magic-angle twisted bilayer graphene has been widely studied, strain…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Federico Escudero , Dong Wang , Pierre A. Pantaleón , Shengjun Yuan , Francisco Guinea , Zhen Zhan

To construct Lagrangian based on plate theory and tight-binding model, deflection-field coupling to Dirac fermions in graphene can be investigated. As have been known, deflection-induced strain may cause an effect on the motion of the…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bumned Soodchomshom

We present a new first-order approach to strain-engineering of graphene's electronic structure where no continuous displacement field $\mathbf{u}(x,y)$ is required. The approach is valid for negligible curvature. The theory is directly…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 Salvador Barraza-Lopez , Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Mihajlo Vanevic

By means of numerical simulations, we explore possible effects of a special interparticle interaction potential which is a function of external and internal conditions of graphene-like systems. In addition to the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 José Abdalla Helayël-Neto , Elena Konstantinova , Ricardo Spagnuolo Martins

The richness of optical and electronic properties of graphene attracts enormous interest. Graphene has high mobility and optical transparency, in addition to flexibility, robustness and environmental stability. So far, the main focus has…

Materials Science · Physics 2015-05-19 F. Bonaccorso , Z. Sun , T. Hasan , A. C. Ferrari

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

The low-energy electronic properties of strained graphene are usually obtained by transforming the bond vectors according to the Cauchy-Born rule. In this work, we derive a new effective Dirac Hamiltonian by assuming a more general…

Mesoscale and Nanoscale Physics · Physics 2018-07-09 Maurice Oliva-Leyva , Chumin Wang

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

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

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

Strain-engineered graphene has garnered much attention recently owing to the possibilities of creating substantial energy gaps enabled by pseudo-magnetic fields. While theoretical works proposed the possibility of creating large-area…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 M. Luo , H. Sun , Z. Qi , K. Lu , M. Chen , D. Kang , Y. Kim , D. Burt , X. Yu , C. Wang , Y. D. Kim , H. Wang , Q. -J. Wang , D. Nam

We study structural and electronic properties of graphene grown on SiC substrate using scanning tunneling microscope (STM), spot-profile-analysis low energy electron diffraction (SPA-LEED) and angle resolved photoemission spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Lunan Huang , Yun Wu , M. T. Hershberger , Daixiang Mou , Ben Schrunk , Michael C. Tringides , Myron Hupalo , Adam Kaminski