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We review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Schliemann , Alexander Khaetskii , Daniel Loss

Low energy spectra of isotropic quantum dots are calculated in the regime of low electron densities where Coulomb interaction causes strong correlations. The earlier developed pocket state method is generalized to allow for continuous…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wolfgang Häusler

We define two laterally gated small quantum dots (~ 15 electrons) in an Aharonov-Bohm geometry in which the coupling between the two dots can be broadly changed. For weakly coupled quantum dots we find Aharonov-Bohm oscillations. In an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. W. Holleitner , C. R. Decker , K. Eberl , R. H. Blick

We use spin-density-functional theory to study the spacing between conductance peaks and the ground-state spin of 2D model quantum dots with up to 200 electrons. Distributions for different ranges of electron number are obtained in both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

We numerically simulate the low-energy properties of interacting electrons in a random potential using the Hartree-Fock based exact diagonalization method. In particular, we investigate how the transport properties are influenced by the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frank Epperlein , Svetlana Kilina , Michael Schreiber , Sergey Uldanov , Thomas Vojta

Electron-electron interactions seem to play a surprisingly small role in the description of the integer quantum Hall effect, considering that for just slightly different filling factors the interactions are of utmost importance causing the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christoph Sohrmann , Rudolf A. Roemer

We study a system in which electrons in a two-dimensional electron gas are confined by a nonhomogeneous nuclear spin polarization. The system consists of a heterostructure that has non-zero nuclei spins. We show that in this system…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. V. Pershin

We study the few-electron eigenspectrum of a nanotube quantum dot with spin-orbit coupling. The two-electron phase diagram as a function of the length of the dot and the applied parallel magnetic field shows clear signatures of both…

Mesoscale and Nanoscale Physics · Physics 2009-06-12 Bernhard Wunsch

Starting with an accurate pseudopotential description of the single-particle states, and following by configuration-interaction treatment of correlated electrons in vertically coupled, self-assembled InAs/GaAs quantum dot-molecules, we show…

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

We study the ground-state entanglement properties of nanostructured Kondo systems consisting of a pair of impurity spins coupled to a background of confined electrons. The competition between the RKKY-like coupling and the Kondo effect…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Marco Nizama , Diego Frustaglia , Karen Hallberg

We study the $D$-dimensional high-density correlation energy $\Ec$ of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic, and examine the…

Chemical Physics · Physics 2011-09-27 Yan Zhao , Pierre-François Loos , Peter M. W. Gill

Fractional-spin errors are inherent in all current approximate density functionals, including Hartree-Fock theory, and their origin has been related to strong static correlation effects. The conventional way to encode fractional-spin…

The ground-state energy, the addition energies and the optical absorption spectra are derived for interacting polarons in parabolic quantum dots in three and two dimensions. A path integral formalism for identical particles is used in order…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. N. Klimin , V. M. Fomin , F. Brosens , J. T. Devreese

The time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots with several spin-polarized and spin-compensated electron configurations. The…

Quantum Physics · Physics 2021-07-09 Ivan P. Christov

The relativistic coupled-cluster theory has been employed to calculate the magnetic dipole and electric quadrupole hyperfine structure constants for the stable isotopes $^{45}$Sc and $^{89}$Y. The role of electron correlation is found to be…

Atomic Physics · Physics 2009-11-11 Bijaya K. Sahoo , Thomas Beier , B. P. Das , R. K. Chaudhuri , Debashis Mukherjee

We investigate magnetic polarons in two-dimensional strongly correlated electron systems, where conduction electrons interact with antiferromagnetically interacting localized spins. Starting from a basic model, we derive a simplified model…

Strongly Correlated Electrons · Physics 2019-11-25 Takao Morinari

We discuss the properties of few electrons and electron-hole pairs confined in coupled semiconductor quantum dots, with emphasis on correlation effects and the role of tunneling. We shall discuss, in particular, exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Guido Goldoni , Filippo Troiani , Massimo Rontani , Devis Bellucci , Elisa Molinari , Ulrich Hohenester

We investigate how two-particle interactions affect the electronic transport through meso- and nanoscopic systems of two different types: quantum dots with local Coulomb correlations and quasi one-dimensional quantum wires of interacting…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Meden

The interaction between localized spins on a quantum dot and free electrons in the reservoirs forms a many-particle entangled system giving rise to the Kondo effect. Here, we investigate electron transport in the third shell of a…

Mesoscale and Nanoscale Physics · Physics 2025-05-29 Olfa Dani , Johannes C. Bayer , Timo Wagner , Gertrud Zwicknagl , Rolf J. Haug

Correlation among particles in finite quantum systems leads to complex behaviour and novel states of matter. One remarkable example is predicted to occur in a semiconductor quantum dot (QD) where at vanishing density the Coulomb correlation…

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