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We report on the results of molecular dynamics simulation (MD) studies of the classical two-dimensional electron crystal in the presence disorder. Our study is motivated by recent experiments on this system in modulation doped semiconductor…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , H. A. Fertig

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Batsch , L. Schweitzer , B. Kramer

From accurate measurements of the energy states in a double quantum dot we deduce the change in magnetization due to single electron tunneling. As a function of magnetic field we observe crossings and anti-crossings in the energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. H. Oosterkamp , S. F. Godijn , M. J. Uilenreef , Y. V. Nazarov , N. C. van der Vaart , L. P. Kouwenhoven

We show that two electrons confined in a square semiconductor quantum dot have two isolated low-lying energy eigenstates, which have the potential to form the basis of scalable computing elements (qubits). Initialisation, one-qubit and…

Quantum Physics · Physics 2009-11-07 J. H. Jefferson , M. Fearn , D. L. J. Tipton , T. P. Spiller

We numerically investigate how electron-electron interactions influence the transport properties of disordered electrons in two dimensions. Our study is based on the quantum Coulomb glass model appropriately generalized to include the spin…

Strongly Correlated Electrons · Physics 2015-06-24 Thomas Vojta , Frank Epperlein , Svetlana Kilina , Michael Schreiber

The normal-state energy spectrum of the two-dimensional $t$-$J$ model in a homogeneous perpendicular magnetic field is investigated. The density of states at the Fermi level as a function of the inverse magnetic field $\frac{1}{B}$ reveals…

Strongly Correlated Electrons · Physics 2013-11-05 A. Sherman

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a…

High Energy Physics - Theory · Physics 2009-10-30 Rashmi Ray , Joan Soto

Electron plasmas confined by an external magnetic field exhibit variations in a two-dimensional plane orthogonal to the confining magnetic field. A nonlinear fluid simulation code to investigate the properties of 2-D electron plasma wave…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

We analyse theoretically the possibilities of contactless control of in-gap states formed by a pair of electrons confined in a triangular quantum ring. The in-gap states are corner-localized states associated with two electrons occupying…

Mesoscale and Nanoscale Physics · Physics 2017-04-21 Anna Sitek , Miguel Urbaneja Torres , Kristinn Torfason , Vidar Gudmundsson , Andrei Manolescu

States of strongly interacting particles are of fundamental interest in physics, and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the…

Strongly Correlated Electrons · Physics 2022-03-16 Abhishek Anand , Jainendra K Jain , G J Sreejith

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

Energy spectra, electron densities, pair correlation functions and heat capacity of a quantum-dot lithium in zero external magnetic field (a system of three interacting two-dimensional electrons in a parabolic confinement potential) are…

Strongly Correlated Electrons · Physics 2009-11-07 S. A. Mikhailov

We consider interacting electrons in a two-dimensional quantum Coulomb glass and investigate by means of the Hartree-Fock approximation the combined effects of the electron-electron interaction and the transverse magnetic field on…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Minchul Lee , Gun Sang Jeon , M. Y. Choi

We study ground states and excited states in semiconductor quantum dots containing 1 to 12 electrons. For the first time, it is possible to identify the quantum numbers of the states in the excitation spectra and make a direct comparison to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. P. Kouwenhoven , T. H. Oosterkamp , M. W. S. Danoesastro , M. Eto , D. G. Austing , T. Honda , S. Tarucha

The properties of an exciton in a type II quantum dot are studied under the influence of a perpendicular applied magnetic field. The dot is modelled by a quantum disk with radius $R$, thickness $d$ and the electron is confined in the disk,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. L. Janssens , B. Partoens , F. M. Peeters

This short review presents a few case studies of finite electron systems for which strong correlations play a dominant role. In simple metal clusters, the valence electrons determine stability and shape of the clusters. The ionic skeleton…

Strongly Correlated Electrons · Physics 2015-05-13 M. Manninen , S. M. Reimann

Using the exactly solvable excitation spectrum of two-electron quantum dots with parabolic potential, we show that the inclusion of the vertical extension of the quantum dot provides a consistent description of the experimental findings of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 R. G. Nazmitdinov , N. S. Simonovic

The effect of an in-plane magnetic field upon open quasi-two-dimensional electron and hole systems is investigated in terms of the carrier ground-state spectrum. The magnetic field, classified as weak from the viewpoint of correlation…

Disordered Systems and Neural Networks · Physics 2009-11-10 Yu. V. Tarasov

We have investigated the dipole charge- and spin-density response of few-electron two-dimensional concentric nanorings as a function of the intensity of a perpendicularly applied magnetic field. We show that the dipole response displays…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Francesc Malet , Martí Pi , Manuel Barranco , Enrico Lipparini , Llorenç Serra

What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan
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