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A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

Among many remarkable qualities of graphene, its electronic properties attract particular interest due to a massless chiral character of charge carriers, which leads to such unusual phenomena as metallic conductivity in the limit of no…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 F. Guinea , M. I. Katsnelson , A. K. Geim

The long-wavelength physics of monolayer graphene in the presence of periodic strain fields has a natural chiral scattering network description. When the strain field varies slowly compared to the graphene lattice and the effective magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Christophe De Beule , Vo Tien Phong , E. J. Mele

We investigate the organized formation of strain, ripples and suspended features in macroscopic CVD-prepared graphene sheets transferred onto a corrugated substrate made of an ordered arrays of silica pillars of variable geometries.…

We investigate the unusual features of the quantum transport in gapped monolayer graphene, which is in a pseudospin symmetry-broken state with a net perpendicular pseudomagnetization. Using these pseudoferromagnets (PFs), we propose a…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Leyla Majidi , Malek Zareyan

We analyze elastic deformations of graphene sheets which lead to effective gauge fields acting on the charge carriers. Corrugations in the substrate induce stresses, which, in turn, can give rise to mechanical instabilities and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 F. Guinea , B. Horovitz , P. Le Doussal

The behaviour of a Dirac electron in graphene, under magnetic fields which are orthogonal to the layer, is studied. The initial problem is reduced to an equivalent one, where two one-dimensional Schr\"{o}dinger Hamiltonians $H^{\pm}$ are…

Quantum Physics · Physics 2020-06-08 Miguel Castillo-Celeita , David J. Fernández C

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 B. N. Narozhny , M. Schütt

We have investigated the effects of strain on two-dimensional square lattices and examined the methods for inducing pseudo-magnetic fields. In both the columnar and staggered $\pi$-flux square lattices, we have found that strain only…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 Junsong Sun , Xingchuan Zhu , Tianyu Liu , Shiping Feng , Huaiming Guo

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

Since its first isolation in 2004, graphene has been found to host a plethora of unusual electronic transport phenomena, making it a fascinating system for fundamental studies in condensed-matter physics as well as offering tremendous…

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

The strain fields of periodically buckled graphene induce a periodic pseudo-magnetic field (PMF) that modifies the electronic band structure. From the geometry, amplitude, and period of the periodic pseudo-magnetic field, we determine the…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 S. P. Milovanović , M. Anđelković , L. Covaci , F. M. Peeters

The low-energy bands of twisted bilayer graphene form Dirac cones with approximate electron-hole symmetry at small rotation angles. These crossings are protected by the emergent symmetries of moir\'e patterns, conferring a topological…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Hector Ochoa

Starting from an engineered periodic optical structure formed by waveguide arrays comprised of two interleaved lattices, we simulate a deformed Dirac equation. We show that the system also simulate graphene nano ribbons under strain. This…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 M. R. Setare , P. Majari , C. Noh , Sh. Dehdashti

Straining graphene results in the appearance of a pseudo-magnetic field which alters its local electronic properties. Applying a pressure difference between the two sides of the membrane causes it to bend/bulge resulting in a resistance…

Mesoscale and Nanoscale Physics · Physics 2017-08-03 S. P. Milovanovic , M. Z. Tadic , F. M. Peeters

Modifying the hexagonal lattices of graphene enables the repositioning and merging of the Dirac cones which proves to be a key element in the use of these materials for alternative electronic applications such as valleytronics. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Saber Rostamzadeh , Mustafa Sarisaman

Flat electronic bands can accommodate a plethora of interaction driven quantum phases, since kinetic energy is quenched therein and electronic interactions therefore prevail. Twisted bilayer graphene, near so-called the "magic angles",…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Bitan Roy , Vladimir Juricic

Recent experiments reveal that a scanning tunneling microscopy (STM) probe tip can generate a highly localized strain field in a graphene drumhead, which in turn leads to pseudomagnetic fields in the graphene that can spatially confine…

Graphene membranes suspended off electric contacts or other rigid supports are prone to elastic strain, which is concentrated at the edges and corners of the samples. Such a strain leads to an algebraically varying effective magnetic field…

Mesoscale and Nanoscale Physics · Physics 2010-04-08 Elsa Prada , Pablo San-Jose , Gladys León , Michael M. Fogler , Francisco Guinea