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An approach to observe snake states in a graphene Hall bar containing a pn-junction is proposed. The magnetic field dependence of the bend resistance in a ballistic graphene Hall bar structure containing a tilted pn-junction oscillates as a…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 M. D. Petrović , F. M. Peeters

The Hall (RH) and bend (RB) resistance of a graphene Hall bar structure containing a pn-junction are calculated when in the ballistic regime. The simulations are done using the billiard model. Introducing a pn-junction--dividing the Hall…

Mesoscale and Nanoscale Physics · Physics 2012-04-23 Michael Barbiër , György Papp , François M. Peeters

We investigate transport in locally-gated graphene devices, where carriers are injected and collected along, rather than across, the gate edge. Tuning densities into the p-n regime significantly reduces resistance along the p-n interface,…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 J. R. Williams , C. M. Marcus

Four-terminal resistances, both longitudinal and diagonal, of a locally gated graphene device are measured in the quantum-Hall (QH) regime. In sharp distinction from previous two-terminal studies [J. R. Williams \textit{et al.}, Science…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Dong-Keun Ki , Hu-Jong Lee

We investigated the magnetic field dependence of the Hall and the bend resistances in the ballistic regime for a single layer graphene Hall bar structure containing a pn-junction. When both regions are n-type the Hall resistance dominates…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

The electronic transport of graphene p-n junctions under perpendicular magnetic field is investigated in theory. Under low magnetic field, the transport is determined by the resonant tunneling of Landau levels and conductance versus…

Mesoscale and Nanoscale Physics · Physics 2018-05-11 Shu-Guang Cheng

The quantum Hall and longitudinal resistances in multi-terminal ferromagnetic graphene p-n junctions under a perpendicular magnetic field are investigated. In the Hall measurements, the transverse contacts are assumed to be located at p-n…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Lei Xu , Jin An , Chang-De Gong

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

We investigate the magnetic interface states of graphene quantum dots that contain p-n junctions. Within a tight-binding approach, we consider rectangular quantum dots in the presence of a perpendicular magnetic field containing p-n, as…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 M. Zarenia , J. M. Pereira , F. M. Peeters , G. A. Farias

We investigate the magnetic field dependence of the Hall and the bend resistances for a ballistic Hall bar structure containing a pn-junction sculptured from a bilayer of graphene. The electric response is obtained using the billiard model…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

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

In a graphene {\em pn} junction at high magnetic field, unidirectional "snake states" are formed at the {\em pn} interface. In a clean {\em pn} junction, each snake state exists in one of the valleys of the graphene band structure, and the…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Christian Fraessdorf , Luka Trifunovic , Nils Bogdanoff , Piet W. Brouwer

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

Snake states are open trajectories for charged particles propagating in two dimensions under the influence of a spatially varying perpendicular magnetic field. In the quantum limit they are protected edge modes that separate topologically…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 Yang Liu , Rakesh P. Tiwari , Matej Brada , C. Bruder , F. V. Kusmartsev , E. J. Mele

By using four-terminal configurations, we investigated the dependence of longitudinal and diagonal resistances of a graphene p-n interface on the quantum-Hall edge-state equilibration position. The resistance of a p-n device in our…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Dong-Keun Ki , Seung-Geol Nam , Hu-Jong Lee , Barbaros Oezyilmaz

The effects of strain, induced by a Gaussian bump, on the magnetic field dependent transport properties of a graphene Hall bar are investigated. The numerical simulations are performed using both classical and quantum mechanical transport…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. P. Milovanovic , F. M. Peeters

Snake states are trajectories of charge carriers curving back and forth along an interface. There are two types of snake states, formed by either inverting the magnetic field direction or the charge carrier type at an interface. Whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Peter Rickhaus , Péter Makk , Ming-Hao Liu , Endre Tóvári , Markus Weiss , Romain Maurand , Klaus Richter , Christian Schönenberger

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
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