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The response of particle density to a dilation of a periodic potential in an insulator, with or without a fixed background potential or a magnetic field, is shown to be quantized. A similar phenomenon occurs in a quantum Hall system, where…

Condensed Matter · Physics 2009-10-22 Q. Niu

We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor $\nu \gg 1$. This equation describes all of the effects of the external fields on the impurity collision integral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. G. Vavilov , I. L. Aleiner

The linear response of two-dimensional electron gas in a perpendicular magnetic field in the presence of a spatially dependent classically smooth electrostatic potential is studied theoretically, by application of the Kubo formula for…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

We measure the low-field Hall resistivity of a magnetically-doped two-dimensional electron gas as a function of temperature and electrically-gated carrier density. Comparing these results with the carrier density extracted from Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Cumings , L. S. Moore , H. T. Chou , K. C. Ku , S. A. Crooker , N. Samarth , D. Goldhaber-Gordon

The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. Aldea , P. Gartner , M. Nita

Transport properties of GaAs/{\delta}<Mn>/GaAs/In\timesGa1-\timesAs/GaAs structures containing InxGa1-xAs (\times {\approx} 0.2) quantum well (QW) and Mn delta layer (DL) with relatively high, about one Mn monolayer (ML) content, are…

We present transport measurements performed in InAs/GaSb double quantum wells. At the electron-hole crossover tuned by a gate voltage, a strong increase in the longitudinal resistivity is observed with increasing perpendicular magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Fabrizio Nichele , Atindra Nath Pal , Patrick Pietsch , Thomas Ihn , Klaus Ensslin , Christophe Charpentier , Werner Wegscheider

We present a consistent treatment of the quantum Hall effect within the electrostatic approximation. We derive the form of the density of states (DOS) which differs from the usual gaussian shape valid for non-interacting electrons. Below a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Tsemekhman , V. Tsemekhman , C. Wexler

The magnetoresistance of a low carrier density, disordered GaAs based two-dimensional (2D) electron gas has been measured in parallel magnetic fields up to 32 T. The feature in the resistance associated with the complete spin polarization…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 B. A. Piot , D. K. Maude , U. Gennser , A. Cavanna , D. Mailly

In this paper, we examine the viscoelastic properties of integer quantum Hall (IQH) states in a tilted magnetic field. In particular, we explore to what extent the tilted-field system behaves like a two-dimensional electron gas with…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Bendeguz Offertaler , Barry Bradlyn

We examine the hydrostatic stress of electrons strongly confined in a quasi-2D quantum well in the presence of a strong perpendicular and weak in-plane magnetic field. This introduces anisotropy into the stress tensor which is inconsistent…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Ian Osborne , Gustavo M. Monteiro , Barry Bradlyn

The dispersion of the volume relativistic magnetoplasma mode in a gated GaAs/AlGaAs quantum well is measured using a coupled resonators detection technique. The weakly damped relativistic mode exhibits an unusual zigzag-shaped…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 P. A. Gusikhin , V. M. Muravev , I. V. Kukushkin

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Akera , Hidekatsu Suzuura

We consider a non-interacting electron gas confined to a two-dimensional crystal by the action of a perpendicular magnetic field; in the one-particle approximation, the dynamics of the system is modelled by a spectrally gapped Bloch-Landau…

Mathematical Physics · Physics 2026-01-30 Gabriele Mazzini , Domenico Monaco

The results of systematic experimental studies of quantum oscillations of resistivity, Hall coefficient and capacitance in GaAs and In$_x$Ga$_{1-x}$As quantum wells (QWs) with a simple electron spectrum and HgTe QWs with a complicated…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 G. M. Minkov , O. E. Rut , A. A. Sherstobitov , S. A. Dvoretski , N. N. Mikhailov , A. V. Germanenko

In ultra-high quality two-dimensional (2D) materials the mean free paths of phonons and electrons relative to all mechanisms of scattering can be much greater than a size of a sample. In this case the most intensive type of scattering of…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 P. S. Alekseev , M. A. Semina

Quantum wells constitute one of the most important classes of devices in the study of 2D systems. In a double layer QW, the additional "which-layer" degree of freedom gives rise to celebrated phenomena such as Coulomb drag, Hall drag and…

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…

The single-particle energy spectrum of a two-dimensional electron gas in a perpendicular magnetic field consists of equally-spaced spin-split Landau levels, whose degeneracy is proportional to the magnetic field strength. At integer and…

We analyze the magnetoconductance of two-dimensional electron and hole gases (2DEGs) subject to a parallel magnetic field. It is shown that, for confining potential wells which are symmetric with respect to spatial inversion, a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , B. L. Altshuler