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We investigate new properties of the Dirac electrons in the finite graphene sample under perpendicular magnetic field that emerge when an in-plane electric bias is also applied. The numerical analysis of the Hofstadter spectrum and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 B. Ostahie , M. Nita , A. Aldea

We have investigated the magnetotransport properties of a single-layer graphene Hall bar with additional graphene side gates. The side gating in the absence of a magnetic field can be modeled by considering two parallel conducting channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Molitor , J. Güttinger , C. Stampfer , D. Graf , T. Ihn , K. Ensslin

We use numerical simulations to predict peculiar magnetotransport fingerprints in polycrystalline graphene, driven by the presence of grain boundaries of varying size and orientation. The formation of Landau levels is shown to be restricted…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Aron W. Cummings , Alessandro Cresti , Stephan Roche

We report simultaneous transport and scanning microwave impedance microscopy to examine the correlation between transport quantization and filling of the bulk Landau levels in the quantum Hall regime in gated graphene devices. Surprisingly,…

The magneto- and Hall resistance of a locally gated cross shaped graphene Hall bar is calculated. The edge of the top gate is placed diagonally across the center of the Hall cross. Four-probe resistance is calculated using the…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

The ballistic motion of carriers of graphene in an orthogonal electromagnetic field is investigated to explain Hall conductance of graphene under experimental conditions. With the electrical field, all electronic eigen-states have the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ji Luo

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov

The presence of strong disorder in graphene nanoribbons yields low-mobility diffusive transport at high charge densities, whereas a transport gap occurs at low densities. Here, we investigate the longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Fabian Duerr , Jeroen B. Oostinga , Charles Gould , Laurens W. Molenkamp

Quantum transport properties in quantum Hall wires in the presence of spatially correlated random potential are investigated numerically. It is found that the potential correlation reduces the localization length associated with the edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. Electronic transport measurements have been used to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Dmitri A. Abanin , Leonid S. Levitov , Philip Kim

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

Unconventional magneto-transport fingerprints in the quantum Hall regime (with applied magnetic field from one to several tens of Tesla) in chemically functionalized graphene are reported. Upon chemical adsorption of monoatomic oxygen (from…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Jean-Christophe Charlier , Stephan Roche

We probe quantum Hall effect in a tunable 1-D lateral superlattice (SL) in graphene created using electrostatic gates. Lack of equilibration is observed along edge states formed by electrostatic gates inside the superlattice. We create…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Sudipta Dubey , Mandar M. Deshmukh

The transversal and longitudinal resistance in the quantum Hall effect regime was measured in a Si MOSFET sample in which a slot-gate allows one to vary the electron density and filling factor in different parts of the sample. In case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Shlimak , v. Ginodman , A. Butenko , K. -J. Friedland , S. V. Kravchenko

We theoretically study the electronic band structure and the Hall effect in the negatively-curved three-dimensional (3D) graphene network in magnetic fields. We found that special energy regions appear above and below the zero-energy Landau…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Toshiki Kiryu , Mikito Koshino

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic…

Mesoscale and Nanoscale Physics · Physics 2010-11-13 Martina Flöser , Thierry Champel , Serge Florens

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 A. M. Kadigrobov , M. V. Fistul
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