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In the revised International System of Units (SI), the ohm and the volt are realized from the von Klitzing constant and the Josephson constant, and a practical realization of the ampere is possible by applying Ohm's law directly to the…

In the Hall effect, a voltage drop develops perpendicularly to the current flow in the presence of a magnetic field, leading to a transverse Hall resistance. Recent developments with quantum simulators have unveiled strongly correlated and…

The new definition of the ampere calls for a quantum current standard able to deliver a flow of elementary charges, $e$, controlled with a relative uncertainty of $10^{-8}$. Despite many efforts, nanodevices handling electrons one by one…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Sophie Djordjevic , Ralf Behr , W. Poirier

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

One major change of the future revision of the International System of Units (SI) is a new definition of the ampere based on the elementary charge \emph{e}. Replacing the former definition based on Amp\`ere's force law will allow one to…

Instrumentation and Detectors · Physics 2016-12-21 J. Brun-Picard , S. Djordjevic , D. Leprat , F. Schopfer , W. Poirier

We present precision measurements of the fractional quantized Hall effect where the quantized resistance $R^{[1/3]}$ in the fractional quantum Hall state at filling factor 1/3 was compared with a quantized resistance $R^{[2]}$, represented…

Mesoscale and Nanoscale Physics · Physics 2017-06-30 Franz J. Ahlers , Martin Götz , Klaus Pierz

Many modern electronic devices utilize linear Hall sensors to measure current and the magnetic field, as well as to perform switching and latching operations. Smartphones, laptops, and e-readers all work with very low (sub-mA) currents. To…

Instrumentation and Detectors · Physics 2018-02-09 Yossi Sharon , Bagrat Khachatryan , Dima Cheskis

The quantum Josephson voltage standard is well established across the metrology community for many years. It relies on the synchronisation of the flux tunneling in the S/I/S Josepson junctions (JJ) with the microwave radiation (MW). The…

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 quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

Following recent experiments, we consider current flow in two dimensional electronic systems in the quantum Hall regime where a gradient in the electron density induces a spatial variation in the Hall resistivity. Describing the system in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Ilan , N. R. Cooper , Ady Stern

We propose a way to realize a programmable quantum current standard (PQCS) from the Josephson voltage standard and the quantum Hall resistance standard (QHR) exploiting the multiple connection technique provided by the quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2014-01-31 W. Poirier , F. Lafont , S. Djordjevic , F. Schopfer , L. Devoille

We demonstrate the synchronization of current quantization in a parallel array of weakly coupled Josephson Junctions operating in the regime of the coherent quantum phase slip. The first quantized current step on the voltage-current…

Superconductivity · Physics 2026-05-26 R. Shaikhaidarov , R. Hussain , V. N. Antonov , E. Il'ichev

Quantum Hall effect (QHE) is the basis of modern resistance metrology. In Quantum Hall Array Resistance Standards (QHARS), several individual QHE elements, each one having the same QHE resistance (typically half of the von Klitzing…

Instrumentation and Detectors · Physics 2013-11-05 Massimo Ortolano , Marco Abrate , Luca Callegaro

A programmable quantum current generator based on the application of Ohm's law to quantum voltage and resistance standards has demonstrated a realization of the ampere from the elementary charge with a $10^{-8}$ relative uncertainty [J.…

Instrumentation and Detectors · Physics 2021-08-11 Sophie Djordjevic , Ralf Behr , Dietmar Drung , Martin Götz , Wilfrid Poirier

The quantum anomalous Hall effect holds promise as a disruptive innovation in condensed matter physics and metrology, as it gives access to Hall resistance quantization in terms of the von-Klitzing constant RK = h/e2 at zero external…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 D. K. Patel , K. M. Fijalkowski , M. Kruskopf , N. Liu , M. Götz , E. Pesel , M. Jaime , M. Klement , S. Schreyeck , K. Brunner , C. Gould , L. W. Molenkamp , H. Scherer

The fact that electrical current is carried by individual charges has been known for over 100 years, yet this discreteness has not been directly observed so far. Almost all current measurements involve measuring the voltage drop across a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jonas Bylander , Tim Duty , Per Delsing

The quantum anomalous Hall effect (QAHE) in magnetic topological insulators offers great potential to revolutionize quantum electrical metrology by establishing primary resistance standards operating at zero external magnetic field and…

Measurement techniques based upon the Hall effect are invaluable tools in condensed matter physics. When an electric current flows perpendicular to a magnetic field, a Hall voltage develops in the direction transverse to both the current…

We present an experimental study of mesoscopic, two-dimensional electronic systems at high magnetic fields. Our samples, prepared from a low-mobility InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance fluctuations.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Peled , D. Shahar , Y. Chen , D. L. Sivco , A. Y. Cho
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