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The simultaneous suppression of charge fluctuations and offsets is crucial for preserving quantum coherence in devices exploiting large quantum fluctuations of the superconducting phase. This requires an environment with both extremely low…

Superconductivity · Physics 2012-10-11 Nicholas A. Masluk , Ioan M. Pop , Archana Kamal , Zlatko K. Minev , Michel H. Devoret

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

High impedance connecting links and cables are modeled at low frequency in terms of their impedance to ground and to neigbouring connecting links. The impedance is usually considered to be the parallel combination of a resistance and a…

Instrumentation and Detectors · Physics 2013-07-18 Andrea Giachero , Claudio Gotti , Matteo Maino , Gianluigi Pessina

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 first measurements of Hall conductivity utilizing a new torque magnetometry method designed for insulators. A Corbino disk exhibits a magnetic dipole moment proportional to Hall conductivity when voltage is applied across a…

Mesoscale and Nanoscale Physics · Physics 2019-09-02 Samuel Mumford , Tiffany Paul , Seung Hwan Lee , Amir Yacoby , Aharon Kapitulnik

We develop a theoretical approach to study the scaling of anomalous Hall effect (AHE) in the insulating regime, which is observed to be $\sigma_{xy}^{AH}\propto\sigma_{xx}^{1.40\sim1.75}$ in experiments over a large range of materials. This…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Xiong-Jun Liu , Xin Liu , Jairo Sinova

The magnetocapacitance of a two-dimensional electron system (2DES) is investigated experimentally, both under and away from Quantum Hall (QH) conditions, at frequencies between 1 kHz and 100 MHz. The nature of the capacitive signal in a…

We report that Hybrid membrane resonators (HMRs) made of a decorated membrane resonator backed by a shallow cavity can function as Helmholtz resonators (HRs) when mounted on the sidewall of a clear waveguide for air ventilation. When two…

Classical Physics · Physics 2017-09-13 Caixing Fu , Xiaonan Zhang , Min Yang , Songwen Xiao , Z. Yang

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

It is theoretically possible to combine several Hall bars in arrays to define new quantum standards with perfectly quantized resistance values. We have thus, for the first time, developed and fabricated novel Quantum Hall Array Resistance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Poirier , A. Bounouh , K. Hayashi , H. Fhima , F. Piquemal , G. Geneves , J. P. Andre

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

We have conducted an experimental study of the linear transport properties of the magnetic-field induced insulating phase which terminates the quantum Hall (QH) series in two dimensional electron systems. We found that a direct and simple…

Condensed Matter · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , J. E. Cunningham , E. Shimshoni , S. L. Sondhi

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

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

The diagonal conductivity $\sigma_{xx}$ was measured in the Corbino geometry in both integer and fractional quantum Hall effect (QHE). We find that peak values of $\sigma_{xx}$ are approximately equal for transitions in a wide range of…

Condensed Matter · Physics 2016-08-31 L. P. Rokhinson , B. Su , V. J. Goldman

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

A new traceability chain for the derivation of the farad from dc quantum Hall effect has been implemented at INRIM. Main components of the chain are two new coaxial transformer bridges: a resistance ratio bridge, and a quadrature bridge,…

Instrumentation and Detectors · Physics 2015-05-18 Luca Callegaro , Vincenzo D'Elia , Bruno Trinchera

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

In view of the progress achieved in the field of the ac quantum Hall effect, the Working Group of the Comite Consultatif d'Electricite et Magnetisme (CCEM) on the AC Quantum Hall Effect asked the authors of this paper to write a compendium…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 F J Ahlers , B Jeanneret , F Overney , J Schurr , B M Wood

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