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The density of states and the Hall conductivity of a two-dimensional electron gas in a uniform magnetic field and in the presence of a delta impurity are exactly calculated using elementary field theoretic techniques. Although these results…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. M. Cavalcanti , C. A. A. de Carvalho

Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

Two dimensional electrons in a magnetic field can form new states of matter characterized by topological properties and strong electronic correlations as displayed in the integer and fractional quantum Hall states. In these states the…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Alexei D. Chepelianskii , Masamitsu Watanabe , Kostyantyn Nasyedkin , Kimitoshi Kono , Denis Konstantinov

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

We establish the consistency of the Fermi liquid description and find a relation between Fermi liquid constants for the two dimensional electron system near the point of full polarization due to a parallel magnetic field $H$. Our results…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 G. Zala , B. N. Narozhny , I. L. Aleiner , Vladimir I. Fal'ko

We show theoretically that the strong interaction of a two-dimensional electron gas (2DEG) with a dressing electromagnetic field drastically changes its transport properties. Particularly, the dressing field leads to the giant increase of…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 S. Morina , O. V. Kibis , A. A. Pervishko , I. A. Shelykh

We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Neil F. Johnson , Luis Quiroga

The two-dimensional interacting electron gas at Landau level filling factor $\nu =1$ and temperature $T=0$ is a strong ferromagnet; all spins are completely aligned by arbitrarily weak Zeeman coupling. We report on a theoretical study of…

Condensed Matter · Physics 2009-10-28 Marcus Kasner , A. H. MacDonald

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

The quantum Hall effect in a 2D electron system expresses a topological invariant, leading to a quantized conductivity. The thermal Hall and thermoelectric Nernst conductances in two dimensions are also reported to be quantized in specific…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Jonathan Noky , Johannes Gooth , Yan Sun , Claudia Felser

The longitudinal thermopower of ultra-high mobility two-dimensional electrons has been measured at both zero magnetic field and at high fields in the compressible metallic state at filling factor $\nu = 3/2$ and the incompressible…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Recently, Dial et al. presented measurements of the tunneling density of states into the bulk of a two dimensional electron gas under strong magnetic fields. Several high energy features appear in the measured spectrum showing a distinct…

Strongly Correlated Electrons · Physics 2015-05-20 Gilad Barak , Amir Yacoby , Yigal Meir

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

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

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

Consequences of an exceedingly strong electric field (E field) on the ground state energetics and transport properties of a 2D spinless electron gas in a perpendicular magnetic field (a Quantum Hall Effect (QHE) configuration) are…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Georgios Konstantinou , Konstantinos Moulopoulos

Properties of the magnetic translation operators for a charged particle moving in a crystalline potential and a uniform magnetic field show that it is necessary to consider all inequivalent irreducible projective representations of the the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wojciech Florek

On the basis of our previous studies on energy levels and wave functions of single electrons in a strong magnetic field, the energy levels and wave functions of non-interacting electron gas system, electron gas Hall surface density and Hall…

Quantum Gases · Physics 2011-07-19 Kang Li , Shuming Long , Jianhua Wang , Yi Yuan

In a high mobility two-dimensional electron gas (2DEG) in a GaAs/AlGaAs quantum well we observe a strong magnetoresistance. In lowering the electron density the magnetoresistance gets more pronounced and reaches values of more than 300%. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 L. Bockhorn , P. Barthold , D. Schuh , W. Wegscheider , R. J. Haug
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