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Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual behavior as functions of frequency, chemical…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov

We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Ahmed Jellal

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

We report observations of well developed half integer quantum Hall effect (QHE) on mono layer graphene films of 7 mm \times 7 mm in size. The graphene films are grown by chemical vapor deposition (CVD) on copper, then transferred to SiO_{2}…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Tian Shen , Wei Wu , Qingkai Yu , Curt A Richter , Randolph Elmquist , David Newell , Yong P. Chen

The quantum Hall effect (QHE) originates from discrete Landau levels forming in a two-dimensional (2D) electron system in a magnetic field. In three dimensions (3D), the QHE is forbidden because the third dimension spreads Landau levels…

We demonstrate the anomalous Hall effect (AHE) in single-layer graphene exchange-coupled to an atomically flat yttrium iron garnet (YIG) ferromagnetic thin film. The anomalous Hall conductance has magnitude of ~0.09(2e2/h) at low…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Zhiyong Wang , Chi Tang , Raymond Sachs , Yafis Barlas , Jing Shi

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $\sigma_{xy}=\nu e^2/h$ (where $\nu$ is any…

Mesoscale and Nanoscale Physics · Physics 2009-07-29 R. Ma , L. J. Zhu , L. Sheng , M. Liu , D. N. Sheng

Quantum Hall effect in 1,2-layer graphene is analyzed. The transverse and longitudinal resistivity are found to be universal functions of the filling factor and temperature. At fixed magnetic field mode the magneto-transport problem is…

Mesoscale and Nanoscale Physics · Physics 2024-06-07 M. V. Cheremisin

The observation of the anomalous quantum Hall effect in exfoliated graphene flakes triggered an explosion of interest in graphene. It was however not observed in high quality epitaxial graphene multilayers grown on silicon carbide…

Mesoscale and Nanoscale Physics · Physics 2009-08-31 Xiaosong Wu , Yike Hu , Ming Ruan , Nerasoa K Madiomanana , John Hankinson , Mike Sprinkle , Claire Berger , Walt A. de Heer

In a heterostructure of graphene and the ferromagnetic insulator EuO, the Eu atoms induce proximity exchange and inter-valley interactions in the graphene layer. Constrained by the lattice symmetries, and guided by ab initio calculations, a…

Materials Science · Physics 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

There are known two distinct types of the integer quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart recently observed in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. S. Novoselov , E. McCann , S. V. Morozov , V. I. Falko , M. I. Katsnelson , U. Zeitler , D. Jiang , F. Schedin , A. K. Geim

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

The low energy electronic excitations in single layer and bilayer graphite (graphene) resemble quantum-relativistic particles also known as Dirac Fermions (DF). They possess an internal degree of freedom, chirality, that leads to unusual…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Guohong Li , Eva Y. Andrei

Skyrmions are topologically protected spin textures, characterized by a topological winding number N , that occur spontaneously in some magnetic materials. Recent experiments have demonstrated the capability to grow graphene on top Fe/Ir, a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 J. L. Lado , J. Fernandez-Rossier

We have realized an integer quantum Hall system with superconducting contacts by connecting graphene to niobium electrodes. Below their upper critical field of 4 tesla, an integer quantum Hall effect coexists with superconductivity in the…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Peter Rickhaus , Markus Weiss , Laurent Marot , Christian Schönenberger

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi
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