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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

Strong confinement of charges in few electron systems such as in atoms, molecules and quantum dots leads to a spectrum of discrete energy levels that are often shared by several degenerate quantum states. Since the electronic structure is…

We study the formation of molecular states in a two-electron quantum dot as a function of the barrier potential dividing the dot. The increasing barrier potential drives the two electron system from an artificial helium atom to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. Dybalski , P. Hawrylak

We study the system consisted of two electrons in a quantum dot with a three-dimensional harmonic confinement potential under the effect of a magnetic field. Specifically, two different confinement conditions are considered, one isotropic…

Strongly Correlated Electrons · Physics 2020-08-26 A. M. Maniero , C. R. de Carvalho , F. V. Prudente , Ginette Jalbert

The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

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

A model Hamiltonian is proposed in order to understand the localization-delocalization transition in a quantum dot, where there are two gate voltages: top and side. Considering energetically favorable degrees of freedom only, we achieve a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Myung-Hoon Chung

A theoretical study of single electron capacitance spectroscopy in quantum dots is presented. Exact diagonalizations and the unrestricted Hartree-Fock approximation have been used to shed light over some of the unresolved aspects. The…

Condensed Matter · Physics 2009-10-22 J. J. Palacios , L. Martin-Moreno , G. Chiappe , E. Louis , C. Tejedor

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 A. Bansil , D. Nissenbaum , B. Barbiellini , R. Saniz

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

We study a two-electron quantum dot molecule in a magnetic field by the direct diagonalization of the Hamiltonian matrix. The ground states of the molecule with the total spin S=0 and S=1 provide a possible realization for a qubit of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Harju , S. Siljamäki , R. M. Nieminen

Energy spectra, spin configurations, and entanglement characteristics of a system of four electrons in lateral double quantum dots are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Ying Li , Constantine Yannouleas , Uzi Landman

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmuller

We use density-functional methods to study the effects of an external magnetic field on two-dimensional quantum dots with a rectangular hard-wall confining potential. The increasing magnetic field leads to spin polarization and formation of…

Strongly Correlated Electrons · Physics 2009-11-10 E. Räsänen , A. Harju , M. J. Puska , R. M. Nieminen

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

The maximum-density-droplet (MDD) state of quantum-dot electrons becomes unstable at strong magnetic fields to the addition of interior holes. Using exact diagonalization, we demonstrate that the first hole is located at the center of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. -R. Eric Yang , A. H. MacDonald

Quantum entanglement is analyzed thoroughly in the case of the ground and lowest states of two-electron axially symmetric quantum dots under a perpendicular magnetic field. The individual-particle and the center-of-mass representations are…

Quantum Physics · Physics 2015-12-01 N. S. Simonovic , R. G. Nazmitdinov

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 A. A. Vasilchenko

Energy spectra and spin configurations of a system of N=4 electrons in lateral double quantum dots (quantum dot Helium molecules) are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-08-03 Ying Li , Constantine Yannouleas , Uzi Landman

The degree of entanglement of an electron with a hole in a vertically coupled self-assembled dot molecule is shown to be tunable by an external electric field. Using atomistic pseudopotential calculations followed by a configuration…

Materials Science · Physics 2009-11-11 Gabriel Bester , Alex Zunger