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The electromagnetic mode spectrum of single-layer graphene subjected to a quantizing magnetic field is computed taking into account intraband and interband contributions to the magneto-optical conductivity. We find that a sequence of weakly…

Mesoscale and Nanoscale Physics · Physics 2012-05-16 A. Ferreira , N. M. R. Peres , A. H. Castro Neto

We show how the two-dimensional Dirac oscillator model can describe some properties of electrons in graphene. This model explains the origin of the left-handed chirality observed for charge carriers in monolayer and bilayer graphene. The…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 C. Quimbay , P. Strange

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

We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie

We calculate the magnetoresistivity of a two-dimensional electron gas in the presence of a periodic potential within classical transport theory, using realistic models of impurity scattering. The magnetooscillations induced by geometric…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. D. Mirlin , P. Woelfle

Adopting the mean-field composite fermion picture, we describe the magneto-transport properties of a two-dimensional electron gas with laterally modulated density around filling factor 1/2. The occurrence of a strong positive…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. D. M. Zwerschke , R. R. Gerhardts

The popularity of graphene--a pseudospin-1/2 two-dimensional Dirac-Weyl material--has prompted the search for related materials and the characterization of their properties. In this work, the magneto-optical conductivity is calculated for…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 John D. Malcolm , Elisabeth J. Nicol

The optical conductivity of graphene, bilayer graphene, and graphite in quantizing magnetic fields is studied. Both dynamical conductivities, longitudinal and Hall's, are analytically evaluated. The conductivity peaks are explained in terms…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. A. Falkovsky

In the variational framework, we study the electronic energy spectrum of massless Dirac fermions of graphene subjected to one-dimensional oscillating magnetic and electrostatic fields centered around a constant uniform static magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 B. S. Kandemir , A. Mogulkoc

We report systematic theoretical studies of the inverse Faraday effect in materials with massless Dirac fermions, both in two dimensions such as graphene and surface states in topological insulators, and in three dimensions such as Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 I. D. Tokman , Qianfan Chen , I. A. Shereshevsky , V. I. Pozdnyakova , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

Massless Dirac fermions occur as low-energy modes in several quasi-two-dimensional condensed matter systems such as graphene, the surface of bulk topological insulators, and in layered organic semiconductors. When the rotational symmetry in…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Judit Sári , Mark O. Goerbig , Csaba Toke

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

Polymorph of 8-Pmmn borophene exhibits anisotropic tilted Dirac cones. In this work, we explore the consequences of the tilted Dirac cones in magnetotransport properties of a periodically modulated borophene. We evaluate modulation induced…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 SK Firoz Islam , A. M. Jayannavar

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

Epitaxial graphene films have been formed on the C-face of semi-insulating 4H-SiC substrates by a high temperature sublimation process. Nano-scale square antidot arrays have been fabricated on these graphene films. At low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Shen , Y. Q. Wu , M. A. Capano , L. R. Rokhinson , L. W. Engel , P. D. Ye

Due to Landau quantization, the conductance of two-dimensional electrons exposed to a perpendicular magnetic field exhibits oscillations that generate a fan of linear trajectories when plotted in the parameter space spanned by density and…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Pilkyung Moon , Youngwook Kim , Mikito Koshino , Takashi Taniguchi , Kenji Watanabe , Jurgen H. Smet

A general discussion of graphene in external electromagnetic field is provided. In general, the formulation is not Lorentz invariant because of Zeeman energy. But it can be restored approxiamtely in the case of strong magnetic field, the…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Sze-Shiang feng , Mogus Mochena

Transport of massless Dirac fermions in graphene monolayers is analyzed in the presence of a combination of singular magnetic barriers and applied electrostatic potential. Extending a recently proposed (J Phys. Cond. Matt. Vol 21, 292204…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Manish Sharma , Sankalpa Ghosh

Monolayer 1{\it T}$^{\prime}$-$\mathrm{MoS}_{2}$ exhibits spin- and valley-dependent massive tilted Dirac cones with two velocity correction terms in low-energy effective Hamiltonian. We theoretically investigate the longitudinal diffusive…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Y. Li , W. Zeng , R. Shen

Starting from the Luttinger-Ward functional we derive an expression for the oscillatory part of the grand potential of a two dimensional Dirac system in a magnetic field. We perform the computation for the clean and the disordered system,…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Carolin Kueppersbusch , Lars Fritz