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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

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

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…

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…

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 demonstrate a device concept to fabricate resistance standards made of quantum Hall series arrays by using p-type and n-type graphene. The ambipolar nature of graphene allows fabricating series quantum Hall resistors without complex…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Mirosław Woszczyna , Miriam Friedemann , Thorsten Dziomba , Thomas Weimann , Franz J. Ahlers

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

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

A previous mathematical approach adopted for optimizing the number of total device elements required for obtaining high effective quantized resistances in graphene-based quantum Hall array devices (QHARS) has been further explored with…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 Dominick S. Scaletta , 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

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

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.…

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

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

We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. Electronic transport measurements have been used to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Dmitri A. Abanin , Leonid S. Levitov , Philip Kim

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 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

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

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

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…

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