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The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. Aldea , P. Gartner , M. Nita

Electron interferometry with quantum Hall edge channels holds promise for probing and harnessing exotic exchange statistics of non-Abelian anyons. In semiconductor heterostructures, however, quantum Hall interferometry has proven…

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

It has recently been shown that signatures of non-Hermitian topology can be realized in a conventional quantum Hall device connected to multiple current sources. These signatures manifest as robust current-voltage characteristics, dictated…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Raghav Chaturvedi , Viktor Könye , Ewelina M. Hankiewicz , Jeroen van den Brink , Ion Cosma Fulga

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

Magnetoresistance and Hall coefficient of a graphene layer are investigated in the presence of a tilted magnetic field. We consider the graphene layer is assembled by either another graphene layer or a two-dimensional electron gas (2DEG)…

Materials Science · Physics 2015-06-19 Fariborz Parhizgar , Reza Asgari

Series connection of four quantum Hall effect (QHE) devices based on epitaxial graphene films was studied for realization of a quantum resistance standard with an up-scaled value. The tested devices showed quantum Hall plateaux RH,2 at…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 S. Novikov , N. Lebedeva , J. Hamalainen , I. Iisakka , P. Immonen , A. J. Manninen , A. Satrapinski

Coupling superconductors to quantum Hall edge states is the subject of intense investigation as part of the ongoing search for non-abelian excitations. Our group has previously observed supercurrents of hundreds of picoamperes in graphene…

The minimum of 4-terminal conductance occurring at its charge neutral point has proven to be a robust empirical feature of graphene, persisting with changes to temperature, applied magnetic field, substrate, and layer thickness, though the…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 P. Cadden-Zimansky , M. Shinn , G. T. Myers , Y. Chu , M. J. Dalrymple , H. C. Travaglini

We report development of a quantum Hall resistance standard accurate to a few parts in a billion at 300 mK and based on large area epitaxial graphene. The remarkable precision constitutes an improvement of four orders of magnitude over the…

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

We revealed that 180 degree ferroelectrics domain walls (FDWs) in a ferroelectric substrate, which induce p-n junctions in a graphene channel, lead to the nontrivial temperature and gate voltage dependences of the perpendicular and parallel…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Maksym V. Strikha , Anatolii I. Kurchak , Anna N. Morozovska

Quantum Hall (QH) and quantum spin Hall (QSH) phases have very different edge states and, when going from one phase to the other, the direction of one edge state must be reversed. We study this phenomena in graphene in presence of a strong…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Oleksii Shevtsov , Pierre Carmier , Cyril Petitjean , Christoph Groth , David Carpentier , Xavier Waintal

Recent experiments have shown that electronic Mach-Zehnder interferometers of unprecedented fidelities could be built using a graphene pn junction in the quantum Hall regime. In these junctions, two different edge states corresponding to…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 I. M. Flór , A. Lacerda-Santos , G. Fleury , P. Roulleau , X. Waintal

The metal-graphene contact resistance is a technological bottleneck for the realization of viable graphene based electronics. We report a useful model to find the gate tunable components of this resistance determined by the sequential…

Mesoscale and Nanoscale Physics · Physics 2015-08-03 Ferney A. Chaves , David Jiménez , Abhay A. Sagade , Wonjae Kim , Juha Riikonen , Harri Lipsanen , Daniel Neumaier

Particle localization is an essential ingredient in quantum Hall physics [1,2]. In conventional high mobility two-dimensional electron systems Coulomb interactions were shown to compete with disorder and to play a central role in particle…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , K. von Klitzing , J. H. Smet , A. Yacoby

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan

We present a theoretical study of quantum resonances in the ballistic transport of graphene based $N$-$P$-$N$ junction subject to an externally applied electromagnetic field (EF). By making use of the Floquet analysis and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 M. V. Fistul , K. B. Efetov

At and near charge neutrality, monolayer graphene in a perpendicular magnetic field is a quantum Hall ferromagnet. In addition to the highly symmetric Coulomb interaction, residual lattice-scale interactions, Zeeman, and sublattice…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Jincheng An , Ajit C. Balram , Ganpathy Murthy

In this paper we describe a graphene p-n junction created by chemical doping. We find that chemical doping does not reduce mobility in contrast to top-gating. The preparation technique has been developed from systematic studies about…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Timm Lohmann , Klaus v. Klitzing , Jurgen H. Smet
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