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Related papers: Quantum resistance metrology in graphene

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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

The quantum Hall effect (QHE) is a cornerstone in the new International System of Units (SI), wherein the base units are derived from seven fundamental constants such as Planck's constant h and elementary charge e. Graphene has…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 Hans He , Karin Cedergren , Naveen Shetty , Samuel Lara-Avila , Sergey Kubatkin , Tobias Bergsten , Gunnar Eklund

We apply Laughlin's gauge argument to analyze the $\nu=0$ quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the…

Mesoscale and Nanoscale Physics · Physics 2009-08-09 S. Das Sarma , Kun Yang

We report magnetotransport measurements on a single-layer graphene in pulsed magnetic fields up to $B$ = 53 T. With either electron- or hole-type charge carriers, the Hall resistance $R_{H}$ is quantized into $R_{H}$ = $(h/e^2)\nu ^{-1}$…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Satoru Masubuchi , Ken-ichi Suga , Masashi Ono , Koichi Kindo , Shojiro Takeyama , Tomoki Machida

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

The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

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

In electrical metrology, the quantum Hall effect is accessed at the Landau level filling factor {\nu} = 2 plateau to define and disseminate the unit of electrical resistance (ohm). The robustness of the plateau is only exhibited at this…

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,…

Quantum Hall effect in 1,2-layer graphene is analyzed. The transverse and longitudinal resistivity are found to be universal functions of the filling factor and temperature. At fixed magnetic field mode the magneto-transport problem is…

Mesoscale and Nanoscale Physics · Physics 2024-06-07 M. V. Cheremisin

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

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We investigate quantum transport in graphene/InSe heterostructures and find major asymmetries in the longitudinal resistance ($R_{xx}$) and vanishing $R_{xx}$ peaks at high magnetic fields, particularly at the charge-neutrality point. Our…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Wenxue He , Shijin Li , Jinhao Cheng , Yingpeng Zhang , Kaixuan Fan , Jiabo Liu , Shuaishuai Ding , Wenping Hu , Fan Yang , Chen Wang , Qing-Feng Sun , Hechen Ren

Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

In the quantum Hall regime the charge current is carried by ideal one-dimensional edge channels where the backscattering is prohibited by topology. This results in the constant potential along the edge of the Hall bar leading to zero…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Alexey A. Kaverzin , Shunsuke Daimon , Takashi Kikkawa , Tomi Ohtsuki , Eiji Saitoh

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

Metrological investigations of the quantum Hall effect (QHE) completed by transport measurements at low magnetic field are carried out in a-few-$\mu\mathrm{m}$-wide Hall bars made of monolayer (ML) or bilayer (BL) exfoliated graphene…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 J. Guignard , D. Leprat , D. C. Glattli , F. Schopfer , W. Poirier

We demonstrate quantum Hall resistance measurements with metrological accuracy in a small cryogen-free system operating at a temperature of around 3.8K and magnetic fields below 5T. Operating this system requires little experimental…

Mesoscale and Nanoscale Physics · Physics 2015-08-27 T. J. B. M. Janssen , S. Rozhko , I. Antonov , A. Tzalenchuk , J. M. Williams , Z. Melhem , H. He , S. Lara-Avila , S. Kubatkin , R. Yakimova

Microwave transmission line spectroscopy is used to observe the integer quantum Hall effect in two samples of monolayer graphene with different geometries that are resistively-coupled to a coplanar waveguide. We find plateaus in transmitted…

Mesoscale and Nanoscale Physics · Physics 2024-10-25 Scott Dietrich , Arash Akbari-Sharbaf , James H. Edgar , Alex Roubos , Matthew Freeman , Lloyd W. Engel

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