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In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

Graphene placed in a magnetic field possesses an extremely high mid/far-infrared optical nonlinearity originating from its unusual band structure and selection rules for the optical transitions near the Dirac point. Here we study the linear…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 Xianghan Yao , Alexey Belyanin

Topological materials may exhibit Hall-like currents flowing transversely to the applied electric field even in the absence of a magnetic field. In graphene superlattices, which have broken inversion symmetry, topological currents…

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

Terahertz field induced photocurrents in graphene were studied experimentally and by microscopic modeling. Currents were generated by cw and pulsed laser radiation in large area as well as small-size exfoliated graphene samples. We review…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Sergey D. Ganichev , Dieter Weiss , Jonathan Eroms

In the present work, we give a phenomenological theory of the monolayer graphene where two worlds quantum and classical meet together and complete each other in the most natural way. It appears that the graphene is the unique material where…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 V. Apinyan , M. Sahakyan

The paper presents a theoretical description of the effects of strain induced by out-of-plane deformations on charge distributions and transport on graphene. A review of a continuum model for electrons using the Dirac formalism is…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Dawei Zhai , Nancy Sandler

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

The report presents the results of using the nonperturbative kinetic approach to describe the excitation of plasma oscillations in a graphene monolayer. As examples the constant electric field as well as an electric field of short…

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom

We report on the observation of photon helicity driven currents in graphene. The directed net electric current is generated in single layer graphene by circularly polarized terahertz laser radiation at normal as well as at oblique incidence…

Valley currents and non-local resistances of graphene nanostructures with broken inversion symmetry are considered theoretically in the linear response regime. Scattering state wave functions of electrons entering the nanostructure from the…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 George Kirczenow

The gap equation for Dirac quasiparticles in monolayer graphene in constant magnetic and pseudomagnetic fields, where the latter is due to strain, is studied in a low-energy effective model with contact interactions. Analyzing solutions of…

Strongly Correlated Electrons · Physics 2015-12-14 D. O. Rybalka , E. V. Gorbar , V. P. Gusynin

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

We consider the nonlinear terahertz response of n-doped monolayer graphene at room temperature using a microscopic theory of carrier dynamics. Our tight-binding model treats the carrier-field interaction in the length gauge, includes phonon…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 L. G. Helt , M. M. Dignam

We show the possibility of inducing an edge charge current by applying time-dependent strain in gapped graphene samples preserving time reversal symmetry. We demonstrate that this edge current has the same origin as the valley Hall response…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Abolhassan Vaezi , Nima Abedpour , Reza Asgari , Alberto Cortijo , María A. H. Vozmediano

We study the interaction of electrons in graphene with the quantized electromagnetic field in the presence of an applied uniform electric field using the Dirac model of graphene. Electronic states are represented by exact solutions of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 N. Yokomizo

Defects play a key role in the electronic structure of graphene layers flat or curved. Topological defects in which an hexagon is replaced by an n-sided polygon generate long range interactions that make them different from vacancies or…

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

DC photoelectrical currents can be generated purely as a non-linear effect in uniform media lacking inversion symmetry without the need for a material junction or bias voltages to drive it, in what is termed photogalvanic effect. These…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 F. Hipolito , Thomas G. Pedersen , Vitor M. Pereira

The present article discusses magnetic confinement of the Dirac excitations in graphene in presence of inhomogeneous magnetic fields. In the first case a magnetic field directed along the z axis whose magnitude is proportional to $1/r$ is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Pratim Roy , Tarun Kanti Ghosh , Kaushik Bhattacharya