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Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

Measurement and theory of the two-terminal conductance of monolayer and bilayer graphene in the quantum Hall regime are compared. We examine features of conductance as a function of gate voltage that allow monolayer, bilayer, and gapped…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 J. R. Williams , D. A. Abanin , L. DiCarlo , L. S. Levitov , C. M. Marcus

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

An algorithm is introduced for predicting quantized resistances in graphene p-n junction devices that utilize more than a single entry and exit point for electron flow. Depending on the configuration of an arbitrary number of terminals,…

The Hall effect, and the diagonal resistance, which indicates a residual resistivity $\rho_{xx} \approx h/4e^{2}$, are experimentally examined over the p$\leftrightarrow$n transition about the nominal neutrality point in chemical vapor…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Ramesh G. Mani

In this report we experimentally probe the non-equilibrium breakdown of the quantum Hall state in monolayer graphene by injecting a high current density ($\sim$1A/m). The measured critical currents for dissipationless transport in the…

Mesoscale and Nanoscale Physics · Physics 2010-04-13 Vibhor Singh , Mandar M. Deshmukh

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

Recent quantum Hall experiments conducted on disordered graphene pn junction provide evidence that the junction resistance could be described by a simple Ohmic sum of the n and p mediums' resistances. However in the ballistic limit, theory…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Tony Low

Transport through edge-channels is responsible for conduction in quantum Hall (QH) phases. Topology dictates quantization of both charge and thermal transport coefficients. These turn out to approach robust quantized values when incoherent…

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

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

We investigate transport in a gate-defined graphene quantum point contact in the quantum Hall regime. Edge states confined to the interface of p and n regions in the graphene sheet are controllably brought together from opposite sides of…

Mesoscale and Nanoscale Physics · Physics 2011-07-15 S. Nakaharai , J. R. Williams , C. M. Marcus

We have investigated the disorder of epitaxial graphene close to the charge neutrality point (CNP) by various methods: i) at room temperature, by analyzing the dependence of the resistivity on the Hall coefficient ; ii) by fitting the…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 A. Nachawaty , M. Yang , W. Desrat , S. Nanot , B. Jabakhanji , D. Kazazis , R. Yakimova , A. Cresti , W. Escoffier , B. Jouault

Observations of electron-hole asymmetry in transport through graphene devices at high magnetic field challenge prevalent models of the graphene quantum Hall effect. Here, we study this asymmetry both in conventional magnetotransport and in…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoît Hackens

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

Using high quality graphene pnp junctions, we observe prominent conductance fluctuations on transitions between quantum Hall (QH) plateaus as the top gate voltage Vtg is varied. In the Vtg-B plane, the fluctuations form crisscrossing lines…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jairo Velasco , Gang Liu , Lei Jing , Philip Kratz , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

We report distinctive magnetotransport properties of a graphene p-n-p junction prepared by controlled diffusion of metallic contacts. In most cases, materials deposited on a graphene surface introduce substantial carrier scattering, which…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Cheng-Hua Liu , Po-Hsiang Wang , Tak-Pong Woo , Fu-Yu Shih , Shih-Ching Liou , Po-Hsun Ho , Chun-Wei Chen , Chi-Te Liang , Wei-Hua Wang

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

Quantum spin Hall insulator/metal interfaces are formed in graphene ribbons with intrinsic spin-orbit coupling by selectively doping two regions creating a potential step. For a clean graphene ribbon, the transmission of the topological…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Elsa Prada , Georgo Metalidis

The quantum Hall effect is the seminal example of topological protection, as charge carriers are transmitted through one-dimensional edge channels where backscattering is prohibited. Graphene has made its marks as an exceptional platform to…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoit Hackens