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Measurements of fractional multiples of the {\nu}=2 plateau quantized Hall resistance (R_H {\approx} 12906 {\Omega}) were enabled by the utilization of multiple current terminals on millimetre-scale graphene p-n junction devices fabricated…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Dinesh K. Patel , Martina Marzano , Chieh-I Liu , Mattias Kruskopf , Randolph E. Elmquist , Chi-Te Liang , Albert F. Rigosi

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

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,…

We have demonstrated the millimeter-scale fabrication of monolayer epitaxial graphene $p-n$ junction devices using simple ultraviolet photolithography, thereby significantly reducing device processing time compared to that of electron beam…

The use of multiple current terminals on millimeter-scale graphene $p-n$ junction devices fabricated with Corbino geometries, or quantum Hall resistance dartboards, have enabled the measurement of several fractional multiples of the…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Chieh-I Liu , Dinesh K. Patel , Martina Marzano , Mattias Kruskopf , Heather M. Hill , Albert F. Rigosi

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

Just a few of the promising applications of graphene Corbino pnJ devices include two-dimensional Dirac fermion microscopes, custom programmable quantized resistors, and mesoscopic valley filters. In some cases, device scalability is…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Chieh-I Liu , Dominick S. Scaletta , Dinesh K. Patel , Mattias Kruskopf , Antonio Levy , Heather M. Hill , Albert F. Rigosi

In this paper we review the recent extraordinary progress in the development of a new quantum standard for resistance based on graphene. We discuss the unique properties of this material system relating to resistance metrology and discuss…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 T. J. B. M. Janssen , A. Tzalenchuk , S. Lara-Avila , S. Kubatkin , V. I. Fal'ko

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…

The longitudinal resistances of a six-terminal graphene p-n junction under a perpendicular magnetic field are investigated. Because of the chirality of the Hall edge states, the longitudinal resistances on top and bottom edges of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Jiang-chai Chen , T. C. Au Yeung , Qing-feng Sun

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

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 quantum Hall effect (QHE) theoretically provides a universal standard of electrical resistance in terms of the Planck constant $h$ and the electron charge $e$. In graphene, the spacing between the lowest discrete energy levels occupied…

Mesoscale and Nanoscale Physics · Physics 2015-04-27 R. Ribeiro-Palau , F. Lafont , J. Brun-Picard , D. Kazazis , A. Michon , F. Cheynis , O. Couturaud , C. Consejo , B. Jouault , W. Poirier , F. Schopfer

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

Replacing GaAs by graphene to realize more practical quantum Hall resistance standards (QHRS), accurate to within $10^{-9}$ in relative value, but operating at lower magnetic fields than 10 T, is an ongoing goal in metrology. To date, the…

Mesoscale and Nanoscale Physics · Physics 2015-04-21 F. Lafont , R. Ribeiro-Palau , D. Kazazis , A. Michon , O. Couturaud , C. Consejo , T. Chassagne , M. Zielinski , M. Portail , B. Jouault , F. Schopfer , W. Poirier

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

In this work, limiting factors for developing metrologically useful arrays from epitaxial graphene on SiC are lifted with a combination of centimeter-scale, high-quality material growth and the implementation of superconducting contacts.…

A mathematical approach is adopted for optimizing the number of total device elements required for obtaining high effective quantized resistances in graphene-based quantum Hall array devices. This work explores an analytical extension to…

We report on realization of 10 quantum Hall devices in series fabricated using epitaxial graphene on silicon carbide. Precision measurements with a resistance bridge indicates that the quantized Hall resistance across an array at filling…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Jaesung Park , Wan-Seop Kim , Dong-Hun Chae

Precision measurements of the quantum Hall resistance with alternating current (ac) in the kHz range were performed on epitaxial graphene in order to assess its suitability as a quantum standard of impedance. The quantum Hall plateaus…

Mesoscale and Nanoscale Physics · Physics 2014-08-25 C. -C. Kalmbach , J. Schurr , F. J. Ahlers , A. Müller , S. Novikov , N. Lebedeva , A. Satrapinski
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