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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

We study the effect of local modulation of charge density and carrier type in graphene field effect transistors using a double top gate geometry. The two top gates lead to the formation of multiple \emph{p-n} junctions. Electron transport…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 Ajay K. Bhat , Vibhor Singh , Sunil Patil , Mandar M. Deshmukh

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…

Quantum-mechanical calculations of electron magnetotransport in graphene Fabry-P\'{e}rot interferometers are presented with a focus on the role of spatial structure of edge channels. For an interferometer that is made by removing carbon…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 S. Ihnatsenka

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

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Vadim Khrapai

Quantum Hall edge states are the paradigmatic example of the bulk-boundary correspondence. They are prone to intricate reconstructions calling for their detailed investigation at high spatial resolution. Here, we map quantum Hall edge…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 T. Johnsen , C. Schattauer , S. Samaddar , A. Weston , M. Hamer , K. Watanabe , T. Taniguchi , R. Gorbachev , F. Libisch , M. Morgenstern

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 report experiments on a quantum electron interferometer fabricated from high mobility, low density GaAs/AlGaAs heterostructure material. In this device, a nearly circular electron island is defined by four front gates deposited in etched…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , W. Zhou , V. J. Goldman

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

Electronic Mach-Zehnder interferometers in the Quantum Hall (QH) regime are currently discussed for the realization of quantum information schemes. A recently proposed device architecture employs interference between two co-propagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 N. Paradiso , S. Heun , S. Roddaro , L. N. Pfeiffer , K. W. West , L. Sorba , G. Biasiol , F. Beltram

We fabricate and investigate high quality graphene devices with contactless, suspended top gates, and demonstrate formation of graphene pnp junctions with tunable polarity and doping levels. The device resistance displays distinct…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 Jairo Velasco , Gang Liu , Wenzhong Bao , Chun Ning Lau

Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 E. Cicek , A. Siddiki

We report on the fabrication and transport studies of a single-layer graphene p-n junction. Carrier type and density in two adjacent regions are individually controlled by electrostatic gating using a local top gate and a global back gate.…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 J. R. Williams , L. DiCarlo , 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

The survival of the quantum spin Hall edge channels in presence of an external magnetic field has been a subject of experimental and theoretical research. The inversion of Landau levels that accommodates the quantum spin Hall effect is…

Graphene matter in a strong magnetic field, realizing one-dimensional quantum Hall channels, provides a unique platform for studying electron interference. Here, using the Landauer-B\"uttiker formalism along with the tight-binding model, we…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 M. Mirzakhani , N. Myoung , F. M. Peeters , H. C. Park

The vanishing band gap of graphene has long presented challenges for making high-quality quantum point contacts (QPCs) -- the partially transparent p-n interfaces introduced by conventional split-gates tend to short the QPC. This…

We investigate nonlinear transport in electronic Fabry-Perot interferometers in the integer quantum Hall regime. For interferometers sufficiently large that Coulomb blockade effects are absent, a checkerboard-like pattern of conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-14 D. T. McClure , Yiming Zhang , B. Rosenow , E. M. Levenson-Falk , C. M. Marcus , L. N. Pfeiffer , K. W. West

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow