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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

The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with…

General Physics · Physics 2016-09-21 W. LiMing , Tan Hui

We propose a class of three-dimensional metamaterial architectures composed of a single doped semiconductor (e.g., n-Si) in air or vacuum that lead to unusual effective behavior of the classical Hall effect. Using an anisotropic structure,…

Classical Physics · Physics 2015-10-28 Christian Kern , Muamer Kadic , Martin Wegener

The quantum spin Hall effect has been observed in topological insulators using spin-orbit coupling as the probe, but it has not yet been observed in a metal. An experiment is proposed to measure the quantum spin Hall effect of an electron…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Aiying Zhao , Qiang Gu , Timothy J. Haugan , Thomas J. Bullard , Richard A. Klemm

In the present article we investigate the influence of the contact region on the distribution of the chemical potential in integer quantum Hall samples, as well as the longitudinal and Hall resistance as a function of the magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Christoph Uiberacker , Christian Stecher , Josef Oswald

We report on a comparison of four GaAs/AlGaAs-based quantum resistance standards using an original technique adapted from the well-known Wheatstone bridge. This work shows that the quantized Hall resistance at Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Félicien Schopfer , Wilfrid Poirier

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…

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 2009-11-10 A. M. Martin , K. A. Benedict , F. W. Sheard , L. Eaves

With a model calculation, we demonstrate that a non-invasive measurement of intrinsic quantum Hall effect defined by the local chemical potential in a ballistic quantum wire can be achieved with the aid of a pair of voltage leads which are…

Condensed Matter · Physics 2009-10-22 D. P. Chu , P. N. Butcher

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

Hall viscosity is a quantized nondissipative stress response of a fractional quantum Hall (FQH) fluid to adiabatic geometric deformations. Despite strong theoretical interest, its experimental observation in the FQH state has remained…

Strongly Correlated Electrons · Physics 2025-12-12 Ammar Kirmani , Andrew A. Allocca , Jian-Xin Zhu , Armin Rahmani , Sriram Ganeshan , Pouyan Ghaemi

Magnetic skyrmions are topologically stable objects that are made with a bunch of spins tightly arranged in a smooth fashion. Their topological nature provides unusual and complex transport properties, such as the skyrmion Hall effect.…

Materials Science · Physics 2022-01-19 Bom Soo Kim

In a quantum Hall system, the finite-wavevector Hall conductivity displays an intriguing dependence on the Hall viscosity, a coefficient that describes the non-dissipative response of the fluid to a velocity gradient. In this paper, we…

Strongly Correlated Electrons · Physics 2020-01-03 Fenner Harper , David Bauer , T. S. Jackson , Rahul Roy

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

An experimental study of the high mobility GaAs/AlGaAs system at large-$\nu$ indicates several distinct phase relations between the oscillatory diagonal- and Hall- resistances, and suggests a new class of integral quantum Hall effect, which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. G. Mani , W. B. Johnson , V. Umansky , V. Narayanamurti , K. Ploog

Direct numerical simulations of turbulent Hall dynamos are presented. The evolution of an initially weak and small scale magnetic field in a system maintained in a stationary turbulent regime by a stirring force at a macroscopic scale is…

Astrophysics · Physics 2009-11-10 P. D. Mininni , D. O. Gómez , S. M. Mahajan

We numerically investigate the effect of electron correlation on the integer quantum Hall effect in a square lattice. Increasing the correlation strength via the effective onsite repulsion parameter $U$ degrades the quantization of $\nu =…

Strongly Correlated Electrons · Physics 2026-01-26 Daniel Staros , Christopher Lane , Roxanne Tutchton , Jian-Xin Zhu

It is pointed out that in ferromagnetic metals a contribution to the Hall voltage arises when a non-zero spin current exists, which is generally the case in the presence of a charge current. This contribution is independent of any…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

The spin Hall effect creates a spin current in response to a charge current in a material that has strong spin-orbit coupling. The size of the spin Hall effect in many materials is disputed, requiring independent measurements of the effect.…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Joseph A. Boales , Carl T. Boone , Pritiraj Mohanty

A major motivation for building a quantum computer is that it provides a tool to efficiently simulate strongly correlated quantum systems. In this work, we present a detailed roadmap on how to simulate a two-dimensional electron…

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