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Exact results for the classical and quantum system of two vertically coupled two-dimensional single electron quantum dots are obtained as a function of the interatomic distance (d) and with perpendicular magnetic field. The classical system…

Condensed Matter · Physics 2009-10-31 B. Partoens , A. Matulis , F. M. Peeters

We present an analytically solvable model of $P$ colinear, two-dimensional quantum dots, each containing two electrons. Inter-dot coupling via the electron-electron interaction gives rise to sets of entangled ground states. These ground…

Condensed Matter · Physics 2009-10-28 Simon C. Benjamin , Neil F. Johnson

In this work, the changes in the energy of electrons and holes, oscillator strength and interband transition time when external fields are applied to a GaAs/AlGaAs semiconductor double ring grown by the droplet epitaxy technique are…

Computational Physics · Physics 2023-09-11 Adrian Radu , Cristina Stan , Doina Bejan

We show that electrons in coupled quantum dots characterized by high aspect ratios undergo abrupt density rotations when the dots are biased into an asymmetric confinement configuration. Density rotations occur with electron transfer to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

At low densities, electrons confined to two dimensions in a delta-doped heterostructure can arrange themselves into self-consistent droplets due to disorder and screening effects. We use this observation to show that at low temperatures,…

Strongly Correlated Electrons · Physics 2007-10-10 V. Tripathi , M. P. Kennett

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We engineer a system of two strongly confined quantum dots to gain reproducible electrostatic control of the spin at zero magnetic field. Coupling the dots in a tight ring-shaped potential with two tunnel barriers, we demonstrate that an…

We study the energy spectrum and wave packet dynamics of electrons in a two-dimensional periodic potential subject to a perpendicular spatially modulated magnetic field. We observe avoided band crossings, metal-insulator transitions, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Björn Naundorf , Roland Ketzmerick

We have considered a system consisting of two coupled quantum dots containing two electrons, i.e., two quantum dots next to each other with one excess electron each, subjected to an uniform magnetic field perpendicular to the quantum dots…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 A. M. Maniero , F. V. Prudente , C. R. de Carvalho , Ginette Jalbert

We investigate the electron states and optical absorption in square- and hexagonal-shaped two-dimensional (2D) HgTe quantum dots and quantum rings in the presence of a perpendicular magnetic field. The electronic structure is modeled by…

Mesoscale and Nanoscale Physics · Physics 2019-09-20 Dušan B. Topalović , Vladimir V. Arsoski , Milan Ž. Tadić , François M. Peeters

We study a system of interacting electrons on a one-dimensional quantum ring using exact diagonalization and the variational quantum Monte Carlo method. We examine the accuracy of the Slater-Jastrow -type many-body wave function and compare…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. S. Gylfadottir , A. Harju , T. Jouttenus , C. Webb

The shape of the electron is studied using lowest-order perturbation theory. Quantities used to probe the structure of the proton: form factors, generalized parton distributions, transverse densities, Wigner distributions and the angular…

High Energy Physics - Phenomenology · Physics 2014-12-10 Gerald A. Miller

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

Laterally coupled quantum dot molecules are studied using exact diagonalization techniques. We examine the two-electron singlet-triplet energy difference as a function of magnetic field strength and investigate the magnetization and vortex…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Helle , A. Harju , R. M. Nieminen

The problem of interacting electrons moving under the influence of a strong magnetic field in two dimensions on a finite disk is reconsidered. First, the results of exact diagonalizations for up to $N=9$ electrons for Coulomb as well as for…

Condensed Matter · Physics 2009-10-22 M. Kasner , W. Apel

We calculate the electronic states of Al$_x$Ga$_{1-x}$As/GaAs/Al$_x$Ga$_{1-x}$As double heterojunctions subjected to a magnetic field parallel to the quasi two-dimensional electron gas. We study the energy dispersion curves, the density of…

Materials Science · Physics 2014-01-03 C. Simserides

The quantum dynamics of quasi-one-dimensional ring with varying electron filling factor is investigated in presence of external electric field. The system is modeled within Hubbard Hamiltonian with attractive Coulomb correlation, which…

Superconductivity · Physics 2016-04-21 Bradraj Pandey , Sudipta Dutta , Swapan K. Pati

The magnetic dipole (M1) and electric quadupole (E2) responses of two-dimensional quantum dots with an elliptic shape are theoretically investigated as a function of the dot deformation and applied static magnetic field. Neglecting the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Enrico Lipparini , Llorenç Serra , Antonio Puente