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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

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

We report high-precision resistance measurements on quantum Hall resistance devices fabricated from uniform epitaxial graphene grown by propane-hydrogen chemical vapor deposition on a two-inch silicon carbide substrate. Through molecular…

Mesoscale and Nanoscale Physics · Physics 2026-02-27 François Couëdo , Chiara Mastropasqua , Aurélien Theret , Dominique Mailly , Adrien Michon , Mathieu Taupin

We report the first observation of the quantum Hall effect in epitaxial graphene. The result described in the submitted manuscript fills the yawning gap in the understanding of the electronic properties of this truly remarkable material and…

The miniaturization of quantum Hall resistance standards (QHRS) using epitaxial graphene on silicon carbide necessitates understanding how device dimensions impact performance. This study reveals a pronounced scale-dependent carrier density…

The field of Quantum Hall metrology had a strong start with the implemntation of GaAs-based devices, given that 2D materials systems provided access to interesting quantum phenomena, including the infrastructure associated with making…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

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

Epitaxial graphene films were formed on the Si-face of semi-insulating 4H-SiC substrates by a high temperature sublimation process. A high-k gate stack on epitaxial graphene is realized by inserting a fully oxidized nanometer thin aluminum…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 T. Shen , J. J. Gu , M. Xu , Y. Q. Wu , M. L. Bolen , M. A. Capano , L. W. Engel , P. D. Ye

Precision quantum Hall resistance (QHR) measurements were performed on large-area epitaxial graphene device at low magnetic fields (B = 2 T - 8 T) at temperature T = 1.5 K. Hall resistance was measured using Cryogenic Current Comparator…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Satrapinski , S. Novikov , N. Lebedeva

The half-integer quantum Hall effect in epitaxial graphene is compared with high precision to the well known integer effect in a GaAs/AlGaAs heterostructure. We find no difference between the quantised resistance values within the relative…

Mesoscale and Nanoscale Physics · Physics 2012-05-01 T. J. B. M. Janssen , J. M. Williams , N. E. Fletcher , R. Goebel , A. Tzalenchuk , R. Yakimova , S. Lara-Avila , S. Kubatkin , V. I. Fal'ko

We have performed a metrological characterization of the quantum Hall resistance in a 1 $\mu$m wide graphene Hall-bar. The longitudinal resistivity in the center of the $\nu=\pm 2$ quantum Hall plateaus vanishes within the measurement noise…

Mesoscale and Nanoscale Physics · Physics 2008-12-10 A. J. M. Giesbers , G. Rietveld , E. Houtzager , U. Zeitler , R. Yang , K. S. Novoselov , A. K. Geim , J. C. Maan

We report observations of well developed half integer quantum Hall effect (QHE) on mono layer graphene films of 7 mm \times 7 mm in size. The graphene films are grown by chemical vapor deposition (CVD) on copper, then transferred to SiO_{2}…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Tian Shen , Wei Wu , Qingkai Yu , Curt A Richter , Randolph Elmquist , David Newell , Yong P. Chen

The utilization of multiple current terminals on millimeter-scale graphene p-n junction devices has enabled the measurement of many atypical, fractional multiples of the quantized Hall resistance at the i=2 plateau. These fractions take the…

Graphene has a multitude of striking properties that make it an exceedingly attractive material for various applications, many of which will emerge over the next decade. However, one of the most promising applications lie in exploiting its…

The electrical transport properties of epitaxial graphene layers are correlated with the SiC surface morphology. In this study we show by atomic force microscopy and Raman measurements that the surface morphology and the structure of the…

We have produced ultrathin epitaxial graphite films which show remarkable 2D electron gas (2DEG) behavior. The films, composed of typically 3 graphene sheets, were grown by thermal decomposition on the (0001) surface of 6H-SiC, and…

Since 2017, epitaxial graphene has been the base material for the US national standard for resistance. A future avenue of research within electrical metrology is to remove the need for strong magnetic fields, as is currently the case for…

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

The Syst\`eme Internationale d'unit\'es (SI system) is about to undergo its biggest change in half a century by redefining the units for mass and current in terms of the fundamental constants h and e, respectively. This change crucially…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 T. J. B. M. Janssen , N. E. Fletcher , R. Goebel , J. M. Williams , A. Tzalenchuk , R. Yakimova , S. Kubatkin , S. Lara-Avila , V. I. Falko

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