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We study the current and charge distribution of a two dimensional electron gas under strong perpendicular magnetic fields within the linear response regime. We show within a self-consistent screening theory that incompressible strips with…

介观与纳米尺度物理 · 物理学 2009-11-10 Afif Siddiki , Rolf R. Gerhardts

We study the current and charge distribution in a two dimensional electron system, under the conditions of the integer quantized Hall effect, on the basis of a quasi-local transport model, that includes non-linear screening effects on the…

介观与纳米尺度物理 · 物理学 2009-11-10 Afif Siddiki , Rolf R. Gerhardts

In this work, we calculate the electron and the current density distributions both at the edges and the bulk of a two dimensional electron system, focusing on ideal and non-ideal contacts. A three dimensional Poisson equation is solved…

介观与纳米尺度物理 · 物理学 2015-03-13 D. Eksi , O. Kilicoglu , O. Goektas , A. Siddiki

In this work we implement the self-consistent Thomas-Fermi approach and a local conductivity model to an electron-electron bilayer system. The presence of an incompressible strip, originating from screening calculations at the top (or…

介观与纳米尺度物理 · 物理学 2015-06-25 A. Siddiki

In this work we implement the self-consistent Thomas-Fermi model that also incorporates a local conductivity model to an electron-electron bilayer system, in order to describe novel magneto-transport properties such as the Drag Phenomenon.…

介观与纳米尺度物理 · 物理学 2015-05-13 K. Guven , A. Siddiki , P. M. Krishna , T. Hakioglu

Using a first-principles classical many-body simulation of a Hall bar, we study the necessary conditions for the formation of the Hall potential: (i) Ohmic contacts with metallic reservoirs, (ii) electron-electron interactions, and (iii)…

介观与纳米尺度物理 · 物理学 2010-05-10 Tobias Kramer , Viktor Krueckl , Eric J. Heller , Robert E. Parrott

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

强关联电子 · 物理学 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi

Low-temperature screening properties of the inhomogeneous two-dimensional electron gas in a Hall bar subjected to a strong perpendicular magnetic field are explored using a self-consitent approach. An external oscillating modulation…

介观与纳米尺度物理 · 物理学 2007-05-23 A. Siddiki , Rolf R. Gerhardts

In this work we investigate the electrostatic properties of two dimensional electron system (2DES) in the integer quantum Hall regime. The alternating screening properties of compressible and incompressible strips are formed due to edge…

介观与纳米尺度物理 · 物理学 2016-12-21 E. Guvenilir , O. Kilicoglu , D. Eksi , A. Siddiki

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…

介观与纳米尺度物理 · 物理学 2010-04-12 A. Siddiki F. Marquardt

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…

数学物理 · 物理学 2026-01-30 Gabriele Mazzini , Domenico Monaco

The properties which characterize the stationary Hall effect in a Hall bar are derived from the Langevin equations describing the Brownian motion of an ensemble of interacting moving charges in a constant externally applied electromagnetic…

统计力学 · 物理学 2020-12-02 P. M. Déjardin , J. E. Wegrowe

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

介观与纳米尺度物理 · 物理学 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse…

介观与纳米尺度物理 · 物理学 2023-06-16 M. V. Cheremisin

We calculate the local density of states of a two-dimensional electron system under strong crossed magnetic and electric fields. We assume a strong perpendicular magnetic field which, in the absence of in-plane electric fields and collision…

介观与纳米尺度物理 · 物理学 2011-05-11 S. Erden Gulebaglan , I. Sokmen , A. Siddiki , R. R. Gerhardts

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…

介观与纳米尺度物理 · 物理学 2009-11-10 M. D. Johnson , G. Vignale

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and…

介观与纳米尺度物理 · 物理学 2007-05-23 O. M. Bulashenko , J. M. Rubi

We analyze non-equilibrium current transport in molecular electronic devices, using as an example devices formed by two terphenyl dithiol molecules attached to gold electrodes. Using a first-principles based self-consistent matrix Green's…

介观与纳米尺度物理 · 物理学 2009-11-10 Yongqiang Xue , Mark A. Ratner

Following recent experiments, we consider current flow in two dimensional electronic systems in the quantum Hall regime where a gradient in the electron density induces a spatial variation in the Hall resistivity. Describing the system in…

介观与纳米尺度物理 · 物理学 2009-11-11 R. Ilan , N. R. Cooper , Ady Stern

We have developed new methods to calculate dispersion curves (analytically in the simpler cases) from which we are able to derive the spatial distribution of electron and current densities. We investigate the case where the magnetic field…

凝聚态物理 · 物理学 2009-10-28 E. Hofstetter , J. M. C. Taylor , A. MacKinnon
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