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We model the insulator neighboring the 1/k quantum Hall phase by a random network of puddles of filling fraction 1/k. The puddles are coupled by weak tunnel barriers. Using Kirchoff's laws we prove that the macroscopic Hall resistivity is…

Condensed Matter · Physics 2008-02-03 Efrat Shimshoni , Assa Auerbach

Kirchhoff's current law is thought to describe the translational movement of charged particles through resistors. But Kirchhoff's law is widely used to describe movements of current through resistors in high speed devices. Current at high…

Classical Physics · Physics 2022-12-07 Robert S. Eisenberg

In samples used to maintain the US resistance standard the breakdown of the dissipationless integer quantum Hall effect occurs as a series of dissipative voltage steps. A mechanism for this type of breakdown is proposed, based on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Martin , K. A. Benedict , F. W. Sheard , L. Eaves

The voltage oscillations which occur in an ideally current-biased Josephson junction, were proposed to make a current standard for metrology. We demonstrate similar oscillations in a more complex Josephson circuit derived from the Cooper…

Mesoscale and Nanoscale Physics · Physics 2007-11-05 F. Nguyen , N. Boulant , G. Ithier , P. Bertet , H. Pothier , D. Vion , D. Esteve

To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

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

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 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

We present the design, measurement and analysis of a current sensor based on a process of Josephson parametric upconversion in a superconducting microwave cavity. Terminating a coplanar waveguide with a nanobridge constriction Josephson…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Felix E. Schmidt , Daniel Bothner , Ines C. Rodrigues , Mario F. Gely , Mark D. Jenkins , Gary A. Steele

The experimental verification of the Newton law of gravity at small scales has been a longstanding challenge. Recently, torsion balance experiments have successfully measured gravitational force at the millimeter scale. However, testing…

High Energy Physics - Phenomenology · Physics 2025-02-04 Yu Cheng , Jiadu Lin , Jie Sheng , Tsutomu T. Yanagida

Topological states of matter are characterized by topological invariant, which are physical quantities whose values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Mitali Banerjee , Moty Heiblum , Vladimir Umansky , Dima E. Feldman , Yuval Oreg , Ady Stern

The equilibrium current distribution in a quantum Hall fluid that is subjected to a slowly varying confining potential is shown to generally consist of strips or channels of current, which alternate in direction, and which have universal…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

We theoretically propose a method to perform in situ measurements of charge noise during logical operations in silicon quantum dot spin qubits. Our method does not require ancillary spectator qubits but makes use of the valley degree of…

Mesoscale and Nanoscale Physics · Physics 2024-03-01 David W. Kanaar , H. Ekmel Ercan , Mark F. Gyure , J. P. Kestner

Solid understanding of current induced torques is key to the development of current and voltage controlled magnetization dynamics in ultrathin magnetic heterostructures. A versatile technique is needed to evaluate such torques in various…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Masamitsu Hayashi

The quantum anomalous Hall effect (QAHE) realizes dissipationless longitudinal resistivity and quantized Hall resistance without the need of an external magnetic field. However, when reducing the device dimensions or increasing the current…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Gertjan Lippertz , Andrea Bliesener , Anjana Uday , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

The distribution of the Hall voltage induced by low-frequency AC current is studied theoretically in the incoherent linear transport of quantum Hall systems. It is shown that the Hall-voltage distribution makes a crossover from the uniform…

Mesoscale and Nanoscale Physics · Physics 2011-04-25 Hiroshi Akera

Magnetotransport measurements are presented on paramagnetic (Hg,Mn)Te quantum wells (QWs) with an inverted band structure. Gate-voltage controlled density dependent measurements reveal an unusual behavior in the transition regime from n- to…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 A. Budewitz , K. Bendias , P. Leubner , T. Khouri , S. Shamim , S. Wiedmann , H. Buhmann , L. W. Molenkamp

Devices for nano- and molecular size electronics are currently a focus of research aimed at an efficient current rectification and switching. A few generic molecular scale devices are reviewed here on the basis of first-principles and model…

Soft Condensed Matter · Physics 2015-06-25 A. M. Bratkovsky

By deriving analytical formulae for the quantization accuracy of the acoustoelectric current, we reveal that: 1) the flatness of the current plateau for the typical present devices has reached the theoretical limit of about 100ppm over a…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Xiang-Bai Chen , Xiang-Song Chen , Jie Gao

We extend the quantum Hall matrix model to include couplings to external electric and magnetic fields. The associated current suffers from matrix ordering ambiguities even at the classical level. We calculate the linear response at low…

Strongly Correlated Electrons · Physics 2009-10-01 T. H. Hansson , J. Kailasvuori , A. Karlhede

We analyze and clarify the transport properties of a one-dimensional metallic nanoparticle array with interaction between charges restricted to charges placed in the same conductor. We study the threshold voltage, the I-V curves and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Bascones , V. Estevez , J. A. Trinidad , A. H. MacDonald
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