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The quasi-bound and scattered states in a 2DEG subjected to a circular symmetric steplike magnetic profile with zero average magnetic field are studied. We calculate the effect of a random distribution of such identical profiles on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Reijniers , F. M. Peeters , A. Matulis

We use dynamic scanning capacitance microscopy (DSCM) to image compressible and incompressible strips at the edge of a Hall bar in a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime. This method gives access to…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 M. E. Suddards , A. Baumgartner , M. Henini , C. J. Mellor

We have studied transport properties in a two-dimensional electron gas with equal Rashba and Dresselhaus spin-orbit interactions under a perpendicular magnetic field. By employing the exact solution for this system, we found resonant charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Degang Zhang , Yao-Ming Mu , C. S. Ting

We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density…

Condensed Matter · Physics 2007-05-23 Yu. Kagan , V. A. Kashurnikov , A. V. Krasavin , N. V. Prokof'ev , B. V. Svistunov

We theoretically consider spin pumping in a junction between a ferromagnetic insulator (FI) and a two-dimensional electron gas (2DEG) in which the Rashba and Dresselhaus spin-orbit interactions coexist. Using second-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 M. Yama , M. Tatsuno , T. Kato , M. Matsuo

We solve two-dimensional model of $N$-component dense electron gas in the limit of large $N$ and in a range of the Coulomb interaction parameter: $N^{-3/2}\ll r_s\ll 1$. The quasiparticle interaction on the Fermi circle vanishes as 1/N. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. V. Iordanski , A. Kashuba

We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. D. Johnson , G. Vignale

In this work we implement the self-consistent Thomas-Fermi-Poisson approach to a homogeneous two dimensional electron system (2DES). We compute the electrostatic potential produced inside a semiconductor structure by a quantum-point-contact…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 A. Siddiki F. Marquardt

We derive an exact result for the averaged Feynman propagator and the corresponding density of states of an electron in two dimensions in a perpendicular homogeneous magnetic field and a Gaussian random potential with long-range spatial…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Lothar Spies , Walter Apel , Bernhard Kramer

Using the Thomas-Fermi approximation, we show that an interacting two dimensional electron gas may be described in terms of fractional exclusion statistics at zero and finite temperatures when the interaction has a short-range component. We…

Condensed Matter · Physics 2009-10-28 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

The effect of strong magnetic fields parallel to GaAs/AlGaAs interface on the subband structure of a 2D electron layer is ivestigated theoretically. The system with two levels occupied in zero magnetic field is considered and the magnetic…

Condensed Matter · Physics 2009-10-22 T. Jungwirth , L. Smrcka

The damping of single-particle degrees of freedom in strongly correlated two-dimensional Fermi systems is analyzed. Suppression of the scattering amplitude due to the damping effects is shown to play a key role in preserving the validity of…

Strongly Correlated Electrons · Physics 2009-11-11 V. A. Khodel , M. V. Zverev , J. W. Clark

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

Condensed Matter · Physics 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen

Recent spatially resolved measurements of the electrostatic-potential variation across a Hall bar in strong magnetic fields, which revealed a clear correlation between current-carrying strips and incompressible strips expected near the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Kaan Guven , Rolf R. Gerhardts

The real part of the self-energy of interacting two-dimensional electrons has been calculated in the t-matrix approximation. It is shown that the forward scattering results in an anomalous term leading to the vanishing renormalization…

Strongly Correlated Electrons · Physics 2009-10-30 Ken Yokoyama , Hidetoshi Fukuyama

We study anisotropic stripe models of interacting electrons in the presence of magnetic fields in the quantum Hall regime with integer and fractional filling factors. The model consists of an infinite strip of finite width that contains…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 Jelena Klinovaja , Daniel Loss

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

Determining plateau widths and energy gaps is the remaining task to fully understand the electron transport that gives the fractional quantum Hall effect at the lowest Landau level (LLL). We report that this determination is given by the…

Strongly Correlated Electrons · Physics 2022-07-26 Jongbae Hong

A charged particle in the presence of a magnetic field is studied in the position dependent operator formalism. Instead of a quantum harmonic oscillator, the solution of the resulting Schr\"odinger-like equation is the one for the Morse…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 R. N. Costa Filho , S. F. S. Oliveira , V. Aguiar