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In this article we analyze spin dynamics for electrons confined to semiconductor quantum dots due to the contact hyperfine interaction. We compare mean-field (classical) evolution of an electron spin in the presence of a nuclear field with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , E. A. Yuzbashyan , B. L. Altshuler , Daniel Loss

Electronic transport through a quantum wire sandwiched between two metallic electrodes and coupled to a quantum ring, threaded by a magnetic flux $\phi$, is studied. An analytic approach for the electron transport through the bridge system…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle in electromagnetic and gravitational fields. With the…

General Physics · Physics 2015-07-07 Richard Shurtleff

We consider the quantum Hall effect of two-dimensional electrons with a periodic potential and study the time dependence of the Hall and longitudinal currents when the electric field is applied abruptly. We find that the currents oscillate…

Mesoscale and Nanoscale Physics · Physics 2008-12-16 Manabu Machida , Jun Goryo , Naomichi Hatano

A classical model of the hydrogen atom in a static electric field is studied, basing upon the work [ Hooker A. et al, {\it Phys. Rev. A}, 55 (1997) 4609 ]. In that work the electrons are supposed to move along Kepler orbits around the…

Atomic Physics · Physics 2007-05-23 Fabio Sattin

In attempt to settle the apparent disagreements between different experimental results, transport data near quantum Hall transitions are interpreted by identifying two distinct conduction regimes. The ``classical'' regime, dominated by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Efrat Shimshoni

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

Classical Physics · Physics 2018-11-21 Mihai Dondera

Momentum transfer due to electron-electron interaction (Coulomb drag) between two quantum wells, separated by a distance $d$, in the presence of a perpendicular magnetic field, is studied at low temperatures. We find besides the well known…

Condensed Matter · Physics 2015-06-25 M. W. Wu , H. L. Cui , N. J. M. Horing

By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

We consider electrons in uniform external magnetic and electric fields which move on a plane whose coordinates are noncommuting. Spectrum and eigenfunctions of the related Hamiltonian are obtained. We derive the electric current whose…

High Energy Physics - Theory · Physics 2015-06-26 O. F. Dayi , A. Jellal

We explore theoretically how the coupling to cavity vacuum fields affects the electron transport in quantum conductors due to the counter-rotating-wave terms of light-matter interaction. We determine the quantum conductance in terms of the…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Geva Arwas , Cristiano Ciuti

A field-theoretic formulation of a planar Hall-electron system with edges is presented and some fundamental aspects of the integer quantum Hall effect are studied with emphasis on clarifying general symmetry-based consequences of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 K. Shizuya

The past few years have produced major advances in our understanding of the quantum Hall effects---quantized and unquantized. Theories based on a mathematical transformation, where the electrons are replaced by a set of fermions interacting…

Condensed Matter · Physics 2007-05-23 Bertrand I. Halperin

The electron motion in rather strong magnetic fields (when only the lowest Landau level is populated) is considered. In this case the electron kinetic energy is frozen out and the electrons are guided by slowly varied potential. Using the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Matulis

We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We…

High Energy Physics - Theory · Physics 2008-11-26 B. Harms , O. Micu

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein

Drift effects play a significant role in the transport of charged particles in the heliosphere. A turbulent magnetic field is also known to reduce the effects of particle drifts. The exact nature of this reduction, however, is not clear.…

Space Physics · Physics 2017-05-26 Eugene Engelbrecht , Du Toit Strauss , Kobus le Roux , Adri Burger

Three-dimensional particle-in-cell simulations are employed to investigate electron transport characteristics in Hall thrusters, with particular focus on how magnetic field configuration affects the electron transport due to electron drift…

Plasma Physics · Physics 2025-12-09 Yinjian Zhao , Kunpeng Zhong

The problem of the charged-particle motion in crossed electric and magnetic fields is investigated, and the validity of the guiding-center representation is assessed in comparison with the exact particle dynamics. While the magnetic field…

Plasma Physics · Physics 2023-05-10 Alain J. Brizard

From the Dirac equation of an electron in an anisotropic conduction band, the anisotropy of its motion dramatically affects its interaction with applied electric and magnetic fields. The quantum spin Hall effect (QSHE) is observable in…

Superconductivity · Physics 2019-06-26 Aiying Zhao , Qiang Gu , Richard A. Klemm