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We theoretically investigate the bilinear current, scaling as $j\sim EB$, in two- and three-dimensional systems. Based on the extended semiclassical theory, we develop a unified theory including both longitudinal and transverse currents. We…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Zhanyunxin Du , Yue-Xin Huang , Xiao Li

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…

We study the effect that the electron-electron interaction has on the properties of a multilayer electron system. We consider the case corresponding to filling factor unity in each layer. We find that as a function of the sample parameters…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Luis Brey

Double-layer electron systems in the quantum Hall regime have excitonic condensate ground states when the layers are close together and the total Landau level filling factor is close to an odd integer. In this paper we discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Allan H. MacDonald , Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi

We study the spin Hall effect of a two-dimensional electron gas in the presence of a magnetic field and both the Rashba and Dresselhaus spin-orbit interactions. We show that the value of the spin Hall conductivity, which is finite only if…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Lucignano , R. Raimondi , A. Tagliacozzo

While electron-electron (e-e) interactions are known to influence resistivity in non-Galilean invariant two-dimensional (2D) systems, their effect on magnetotransport is not fully understood. Conventional models for simple bands often…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 G. M. Gusev , A. D. Levin , V. A. Chitta , Z. D. Kvon , N. N. Mikhailov

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

The well-known Hall effect describes the transverse deflection of charged particles (electrons or holes) in an electric-current carrying conductor under the influence of perpendicular magnetic fields, as a result of the Lorentz force.…

The in-plane magnetic field suppresses the quantum coupling between electrons in a double quantum well structure. The microscopical theory of this effect is developed and confirmed experimentally. We have shown that the decrease of the…

Condensed Matter · Physics 2007-05-23 Y. Berk , A. Kamenev , A. Palevski , L. N. Pfeiffer , K. W. West

We predict two spin-dependent transport phenomena in two-dimensional electron systems, which are induced by spatially fluctuating Rashba spin-orbit interaction. When the electron gas is magnetized, the random Rashba interaction leads to the…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Berakdar , J. Barnas

The in-plane anomalous Hall effect occurs when magnetization lies within the same plane as the electric field and Hall current, and requires magnetic point groups lacking rotational or mirror symmetries. While it is observed in both Weyl…

Materials Science · Physics 2026-01-12 Hiroto Saito , Takashi Koretsune

When particles are magnetized, a diffusion process is influenced by the ambient magnetic field. While the entropy increases, the constancy of the magnetic moment puts a constraint. Here, we compare the E-cross-B diffusion caused by random…

Plasma Physics · Physics 2018-01-25 Naoki Sato , Zensho Yoshida

We explore a regime of unipolar electronic transport in a multiple quantum well structure with very large current discontinuities - up to five orders of magnitude. Magneto-transport experiments reveal different transport regimes. Quantum…

Materials Science · Physics 2009-11-13 A. Gomez , V. Berger , N. Pere-Laperne , L. A. De Vaulchier

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

We study transport in normal metals in an external magnetic field. This system exhibits an interplay between a transverse spin imbalance (spin Hall effect) caused by the spin-orbit interaction, a Hall effect via the Lorentz force, and spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. V. Shchelushkin , Arne Brataas

A theory of the weak field Hall effect of Bloch electrons based on the analysis of the forces acting on electrons is presented. It is argued that the electric current is composed of two contributions, that driven by the electric field along…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pavel Streda , Thibaut Jonckheere

We study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. The dynamics separates into a microscopic and macroscopic mode. The latter is a circular Hall current…

Mathematical Physics · Physics 2009-01-07 Nevena Ilieva , Walter Thirring

We have analyzed theoretically the effect of a laser on the tunneling current through a double barrier in the presence of a parallel magnetic field. The mag netotunneling current is modified by the light due to the photon emission and…

Condensed Matter · Physics 2007-05-23 Jesus Inarrea , Gloria Platero

The magnetotransport properties of a two-dimensional electron liquid in graphene are analyzed in the hydrodynamic limit under isothermal conditions. It is shown that the Wiedemann-Franz law does not hold in this regime and that the Lorenz…

Mesoscale and Nanoscale Physics · Physics 2025-06-05 Alex Levchenko