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Spectral analysis of Shubnikov de Haas (SdH) oscillations of magnetoresistance and of Quantum Hall Effect (QHE) measured in quasi-2D highly oriented pyrolytic graphite (HOPG) [Phys. Rev. Lett. 90, 156402 (2003)] reveals two types of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor A. Luk'yanchuk , Yakov Kopelevich

In graphene, which is an atomic layer of crystalline carbon, two of the distinguishing properties of the material are the charge carriers two-dimensional and relativistic character. The first experimental evidence of the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Xu Du , Ivan Skachko , Fabian Duerr , Adina Luican , Eva Y. Andrei

We present an approach to the fractional quantum Hall effect observed in grapheme (GFQHE), basing us on the model developed previously for the fractional quantum Hall effect in a two-dimensional electron system embedded in a quantum well…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 M. A. Hidalgo

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

We report magnetotransport measurements on a single-layer graphene in pulsed magnetic fields up to $B$ = 53 T. With either electron- or hole-type charge carriers, the Hall resistance $R_{H}$ is quantized into $R_{H}$ = $(h/e^2)\nu ^{-1}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Satoru Masubuchi , Ken-ichi Suga , Masashi Ono , Koichi Kindo , Shojiro Takeyama , Tomoki Machida

Electronic properties of materials are commonly described by quasiparticles that behave as non-relativistic electrons with a finite mass and obey the Schroedinger equation. Here we report a condensed matter system where electron transport…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 K. S. Novoselov , A. K. Geim , S. V. Morozov , D. Jiang , M. I. Katsnelson , I. V. Grigorieva , S. V. Dubonos , A. A. Firsov

We investigate the transport properties of high-quality single-layer graphene, epitaxially grown on a 6H-SiC(0001) substrate. We have measured transport properties, in particular charge carrier density, mobility, conductivity and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Johannes Jobst , Daniel Waldmann , Florian Speck , Roland Hirner , Duncan K. Maude , Thomas Seyller , Heiko B. Weber

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

The quantum Hall effect, with a Berry's phase of $\pi$ is demonstrated here on a single graphene layer grown on the C-face of 4H silicon carbide. The mobility is $\sim$ 20,000 cm$^2$/V$\cdot$s at 4 K and ~15,000 cm$^2$/V$\cdot$s at 300 K…

Mesoscale and Nanoscale Physics · Physics 2009-12-08 Xiaosong Wu , Yike Hu , Ming Ruan , Nerasoa K Madiomanana , John Hankinson , Mike Sprinkle , Claire Berger , Walt A. de Heer

The present paper corresponds to the third work of the author related to the magnetotransport properties concerning on the graphene systems. In the first one the integer quantum Hall effect in the monolayer graphene, (MG), MGIQHE, was…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 M. A. Hidalgo , R. Cangas

We present a single electron approach to analyse the magnetotransport properties of the monolayer graphene as a function of both, the gate voltage and the magnetic field; and, also, their evolution with temperature. The model proposed means…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 M. A. Hidalgo

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

We studied the unusual Quantum Hall Effect (QHE) near the charge neutrality point (CNP) in high-mobility graphene sample for magnetic fields up to 18 T. We observe breakdown of the delocalized QHE transport and strong increase in…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 L. Zhang , J. Camacho , H. Cao , Y. P. Chen , M. Khodas , D. Kharzeev , A. Tsvelik , T. Valla , I. A. Zaliznyak

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

We have observed the well-kown quantum Hall effect (QHE) in epitaxial graphene grown on silicon carbide (SiC) by using, for the first time, only commercial NdFeB permanent magnets at low temperature. The relatively large and homogeneous…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 F. D. Parmentier , T. Cazimajou , Y. Sekine , H. Hibino , H. Irie , D. C. Glattli , N. Kumada , P. Roulleau

We report on the unusual nature of nu=0 state in the integer quantum Hall effect (QHE) in graphene and show that electron transport in this regime is dominated by counter-propagating edge states. Such states, intrinsic to massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitry A. Abanin , Kostya S. Novoselov , Uli Zeitler , Patrick A. Lee , Andre K. Geim , Leonid S. Levitov
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