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We consider the effect of periodic scalar and vector potentials generated by periodic deformations of the graphene crystal lattice, on the energy spectrum of electrons. The dependence of electron velocity near the Dirac point on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 V. K. Dugaev , M. I. Katsnelson

This review presents the state of the art in strain and ripple-induced effects on the electronic and optical properties of graphene. It starts by providing the crystallographic description of mechanical deformations, as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Gerardo G. Naumis , Salvador Barraza-Lopez , Maurice Oliva-Leyva , Humberto Terrones

The electronic implications of strain in graphene can be captured at low energies by means of pseudovector potentials which can give rise to pseudomagnetic fields. These strain-induced vector potentials arise from the local perturbation to…

Mesoscale and Nanoscale Physics · Physics 2013-04-15 Alexander L. Kitt , Vitor M. Pereira , Anna K. Swan , Bennett B. Goldberg

Structural distortions in nano-materials can induce dramatic changes in their electronic properties. This situation is well manifested in graphene, a two-dimensional honeycomb structure of carbon atoms with only one atomic layer thickness.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 N. -C. Yeh , C. -C. Hsu , M. L. Teague , J. -Q. Wang , D. A. Boyd , C. -C. Chen

Lattice deformations couple to the low energy electronic excitations of graphene as vector fields similar to the electromagnetic potential \cite{SA02b,VKG10}. The suggestion that certain strain configurations would be able to induce pseudo…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Eduardo V. Castro , Miguel A. Cazalilla , María A. H. Vozmediano

Under the application of a force, a material will deform and, hence, the crystal lattice will experience strain. This induced strain will alter the electronic properties of the material. In particular, strain in graphene generates an…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 J. A. Crosse

We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar…

Materials Science · Physics 2011-02-21 Cheol-Hwan Park , Liang Zheng Tan , Steven G. Louie

We investigate the effects of uniaxial strain on the transport properties of vertical devices made of two twisted graphene layers, which partially overlap each other. We find that because of the different orientations of the two graphene…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Viet Hung Nguyen , Huy-Viet Nguyen , Jerome Saint Martin , Philippe Dollfus

We show that when the pseudomagnetic fields created by long wavelength deformations are appropriately coupled with a scalar electric potential, a significant energy gap can emerge due to the formation of a Haldane state. Ramifications of…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 T. Low , F. Guinea , M. I. Katsnelson

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

We analyze the effect of tensional strain in the electronic structure of graphene. In the absence of electron-electron interactions, within linear elasticity theory, and a tight-binding approach, we observe that strain can generate a bulk…

Materials Science · Physics 2009-07-15 Vitor M. Pereira , A. H. Castro Neto , N. M. R. Peres

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent…

Patterning graphene into various mesoscopic devices such as nanoribbons, quantum dots, etc. by lithographic techniques has enabled the guiding and manipulation of graphene's Dirac-type charge carriers. Graphene, with well-defined strain…

Mesoscale and Nanoscale Physics · Physics 2017-06-09 Péter Nemes-Incze , Gergő Kukucska , János Koltai , Jenő Kürti , Chanyong Hwang , Levente Tapasztó , László P. Biró

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

One of the enticing features common to most of the two-dimensional electronic systems that are currently at the forefront of materials science research is the ability to easily introduce a combination of planar deformations and bending in…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 Gareth Wyn Jones , Vitor M. Pereira

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

As most materials available in macroscopic quantities, graphene appears in a polycrystalline form and thus contains grain boundaries. In the present work, the effect of uniaxial strain on the electronic transport properties through graphene…

Mesoscale and Nanoscale Physics · Physics 2016-06-07 Viet Hung Nguyen , Trinh Xuan Hoang , Philippe Dollfus , Jean-Christophe Charlier

Patterning graphene with a spatially-periodic potential provides a powerful means to modify its electronic properties. Dramatic effects have been demonstrated in twisted bilayers where coupling to the resulting moir\'e-superlattice yields…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Yutao Li , Scott Dietrich , Carlos Forsythe , Takashi Taniguchi , Kenji Watanabe , Pilkyung Moon , Cory R. Dean

When passing an optical medium in the presence of a magnetic field, the polarization of light can be rotated either when reflected at the surface (Kerr effect) or when transmitted through the material (Faraday rotation). This phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Viet Hung Nguyen , Aurélien Lherbier , Jean-Christophe Charlier

Graphene is a mechanically robust 2D material promising for flexible optoelectronic applications. However, its electromagnetic properties under strain are experimentally poorly understood. Here we present the far-infrared transmission…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Manisha Chhikara , Iaroslav Gaponenko , Patrycja Paruch , Alexey. B. Kuzmenko
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