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We analysis the quantum Hall effect exhibited by a system of particles moving in a higher dimensional space. This can be done by considering particles on the Bergman ball {\bb{B}_{\rho}^d} of radius \rho in the presence of an external…

High Energy Physics - Theory · Physics 2010-04-05 Ahmed Jellal

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

The interplay between dimensionality and topology manifests in magnetism via both exotic texture morphology and novel dynamics. A free magnetic skyrmion exhibits the skyrmion Hall effect under electric currents. Once it is confined in…

A biref review is presented on resonant spin Hall effect, where a tiny external electric field induces a saturated spin Hall current in a 2-dimensional electron or hole gas in a perpendicular magnetic field. The phenomenon is attributted to…

Mesoscale and Nanoscale Physics · Physics 2009-04-14 Fu-Chun Zhang , Shun-Qing Shen

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

Magnetic skyrmions are of considerable interest for low-power memory and logic devices because of high speed at low current and high stability due to topological protection. We propose a skyrmion field-effect transistor based on a…

Mesoscale and Nanoscale Physics · Physics 2019-08-15 Ik-Sun Hong , Kyung-Jin Lee

Topological phase in magnetic materials yields a quantized contribution to the Hall effect known as the topological Hall effect, which is often caused by skyrmions, with each skyrmion creating a magnetic flux quantum h/e. The control and…

A motion of neutral and charged particles located nearby a metal surface under joint action of time-periodic electric field E(t) directed normally to the surface and permanent magnetic field H directed along the surface has been considered.…

Materials Science · Physics 2009-11-07 A. A. Ovchinnikov

We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 H. A. Fertig , L. Brey , R. Cote , A. H. MacDonald , A. Karlhede , S. L. Sondhi

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

Tunneling of fractionally charged quasiparticles across a two-dimensional electron system on a fractional quantum Hall plateau is expected to be strongly enhanced at low temperatures. This theoretical prediction is at odds with recent…

Superconductivity · Physics 2009-11-10 Emiliano Papa , Allan. H. MacDonald

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene M. Chudnovsky

Fractional quantum Hall quasiparticles are famous for having fractional electric charge. Recent experiments report that the quasiparticles' effective electric charge determined through tunneling current noise measurements can depend on the…

Strongly Correlated Electrons · Physics 2016-02-02 Kyrylo Snizhko

A quantum description is given of nanoskyrmions in 2D textures with localised spins and itinerant electrons, isolated or coupled to leads, in or out-of-equilibrium. The spin-electron exchange is treated at the mean-field level, while Tensor…

Strongly Correlated Electrons · Physics 2025-07-15 Zhen Zhao , Emil Östberg , Ferdi Aryasetiawan , Claudio Verdozzi

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

We discuss the properties of Skyrmions in the Fractional Quantum Hall effect (FQHE). We begin with a brief description of the Chern-Simons-Landau-Ginzburg description of the FQHE, which provides the framework in which to understand a new…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alex Travesset

We analyze bilayer quantum Hall ferromagnets, whose underlying symmetry group is SU(4). Spin-pseudospin coherence develops spontaneously when the total electron density is low enough. Quasiparticles are CP^3 skyrmions. One skyrmion induces…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a…

High Energy Physics - Theory · Physics 2009-10-30 Rashmi Ray , Joan Soto

Space and astrophysical plasmas are frequently found in the regime of differential rotation, where the presence of a magnetic field can result in the magnetorotational instability, directly responsible for important phenomena such as…

Earth and Planetary Astrophysics · Physics 2019-01-18 Danilo Morales Teixeira , Erico Luiz Rempel