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We collect and review works which treat two-dimensional electron gases in quantum wells (mostly GaAs/GaAlAs heterostructures) in the presence of quantizing magnetic fields as open systems in contact with outside reservoirs. If a reservoir…

Materials Science · Physics 2015-06-16 W. Zawadzki , A. Raymond , M. Kubisa

Developments in the physics of 2D electron systems during the last decade have revealed a new class of nonequilibrium phenomena in the presence of a moderately strong magnetic field. The hallmark of these phenomena is magnetoresistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 I. A. Dmitriev , A. D. Mirlin , D. G. Polyakov , M. A. Zudov

The results of the longitudinal and Hall magnetoresistivity measurements in the Shubnikov - de Haas oscillation regime for the HgCdTe/HgTe/HgCdTe heterostructures with a wide (20.3 nm) HgTe quantum well are presented. An anomalous phase…

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Bäker , L. Schweitzer

We report {\it quantitative} microwave Faraday rotation measurements conducted with a high-mobility two-dimensional electron gas (2DEG) in a GaAs/AlGaAs semiconductor heterostructure. In a magnetic field, the Hall effect and the Faraday…

Bilayer two-dimensional electron systems formed by a thin barrier in the GaAs buffer of a standard heterostructure were investigated by magnetotransport measurements. In magnetic fields oriented parallel to the electron layers, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. N. Makarovskii , L. Smrcka , P. Vasek , T. Jungwirth , M. Cukr , L. Jansen

We study the effect of magnetic field on the properties of a high mobility gated two-dimensional electron gas in a field effect transistor with the Hall bar geometry. When approaching the current saturation when the drain side of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 N. Dyakonova , M. Dyakonov , Z. D. Kvon

We have studied the effect of an in-plane magnetic field on Hall field-induced resistance oscillations in high mobility two-dimensional electron systems. We have found that the oscillation frequency depends only on the perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West

We examined the magneto-transport behavior of electrons confined at the conducting LaAlO3/SrTiO3 interface in the low sheet carrier density regime. We observed well resolved Shubnikov-de Haas quantum oscillations in the longitudinal…

Materials Science · Physics 2015-06-19 Yanwu Xie , Christopher Bell , Minu Kim , Hisashi Inoue , Yasuyuki Hikita , Harold Y. Hwang

We investigate the relation between the diagonal ($\sigma_{xx}$) and off-diagonal ($\sigma_{xy}$) components of the conductivity tensor in the quantum Hall system. We calculate the conductivity components for a short-range impurity…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 Akira Endo , Naomichi Hatano , Hiroaki Nakamura , Ryoen Shirasaki

Energy spectrum of fractional quantum Hall (FQH) states is composed of single electron energy (Landau energy) neglecting the Coulomb interactions between electrons, classical Coulomb energy and the quantum energy via quantum transitions.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shosuke Sasaki

Microwave irradiation of a two-dimensional electron gas (2DEG) produces a non-equilibrium distribution of electrons, and leads to oscillations in the dissipative part of the conductivity. We show that the same non-equilibrium electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. G. Vavilov , I. A. Dmitriev , I. L. Aleiner , A. D. Mirlin , D. G. Polyakov

Electrical conduction is studied along parabolically confined quasi-one dimensional channels, in the framework of a revised linear-response theory, for elastic scattering. For zero magnetic field an explicit multichannel expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Guillon , P. Vasilopoulos , C. M. Van Vliet

The absorption coefficient for surface acoustic waves in a piezoelectric insulator in contact with a GaAs/AlGaAs heterostructure (with two-dimensional electron mobility $\mu= 1.3\times 10^5 cm^2/V\cdot s)$ at T=4.2K) via a small gap has…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Drichko , A. M. Diakonov , A. M. Kreshchuk , T. A. Polyanskaya , I. G. Savel'ev , I. Yu. Smirnov , A. V. Suslov

We have investigated microwave transmission through the edge of quantum Hall systems by employing a coplanar waveguide (CPW) fabricated on the surface of a GaAs/AlGaAs two-dimensional electron gas (2DEG) wafer. An edge is introduced to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Akira Endo , Keita Koike , Shingo Katsumoto , Yasuhiro Iye

We consider the effect of microwave radiation on the Hall resistivity in two-dimension electron systems. It is shown that the photon-assisted impurity scattering of electrons can result in oscillatory dependences of both dissipative and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ryzhii

We theoretically investigate a nonlinear response to a linearly polarized monochromatic electromagnetic wave incident at an angle on a two-dimensional (2D) electronic system (ES) in the form of an infinite strip. The 2D ES is situated on a…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 D. A. Rodionov , S. G. Timchenko , I. V. Zagorodnev

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

It is shown that the ground-state and the lowest excited-states of two-dimensional electron system (2DES), with ion jellium background, correspond to partial crystal-like (with the period $L_{x}^{\square}=\sqrt{2 m \pi} \ell_{0}$)…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 O. G. Balev

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale