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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

The Kondo effect is a key many-body phenomenon in condensed matter physics. It concerns the interaction between a localised spin and free electrons. Discovered in metals containing small amounts of magnetic impurities, it is now a…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 S. Sasaki , S. De Franceschi , J. M. Elzerman , W. G. van der Wiel , M. Eto , S. Tarucha , L. P. Kouwenhoven

In this study, we have performed a detailed investigation of the electronic properties of a core/shell/well/shell multi-layered spherical quantum dot, such as energy eigenvalues, wave functions, electron probability distribution and binding…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 Hatice Taş , Mehmet Sahin

We analyze the electronic structure of atoms in the first, second and third periods using the electronic kinetic energy density and stress tensor density, which are local quantities motivated by quantum field theoretic consideration,…

Atomic Physics · Physics 2016-03-31 Hiroo Nozaki , Kazuhide Ichikawa , Akitomo Tachibana

We consider a set of electrostatic problems relevant for determining the real-space structure and the ground-state energy of a two-dimensional electron liquid subject to smooth external potentials. Three fundamental geometries are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler

We present a study of ground state energies and densities of quantum dots in a magnetic field, which takes into account correlation effects through the Current-density functional theory (CDFT). The method is first tested against exact…

Condensed Matter · Physics 2009-10-22 M. Ferconi , G. Vignale

We show that two spatially separated semiconductor quantum dots under resonant and continuous-wave excitation can be strongly entangled in the steady-state, thanks to their radiative coupling by mutual interaction through the normal modes…

Quantum Physics · Physics 2016-10-19 J. P. Vasco , D. Gerace , P. S. S. Guimarães , M. F. Santos

The rotating nuclei represent one of most interesting subjects for theoretical and experimental studies. They open a new dimension of nuclear landscape, namely, spin direction. Contrary to the majority of nuclear systems, their properties…

Nuclear Theory · Physics 2016-04-27 A. V. Afanasjev

We consider a pair of artificial atoms with different ground state energies. By means of finite element calculations we predict that the ground state energies can be tuned into resonance if the artificial atoms are placed into a flexible…

Other Condensed Matter · Physics 2007-12-27 S. Mendach , S. Kiravittaya , A. Rastelli , M. Benyoucef , R. Songmuang , O. G. Schmidt

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

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

The dimensionality of an electronic quantum system is decisive for its properties. In 1D electrons form a Luttinger liquid and in 2D they exhibit the quantum Hall effect. However, very little is known about the behavior of electrons in…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 S. N. Kempkes , M. R. Slot , S. E. Freeney , S. J. M. Zevenhuizen , D. Vanmaekelbergh , I. Swart , C. Morais Smith

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

We study the effects of thickness on the ground states of two-dimensional quantum dots in high magnetic fields. To be specific, we assume the thickness to be small so that only the lowest state in the corresponding direction is occupied,…

Mesoscale and Nanoscale Physics · Physics 2009-02-03 E. Tölö , A. Harju

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

We develop an ensemble density functional theory for the fractional quantum Hall effect using a local density approximation. Model calculations for edge reconstructions of a spin-polarized quantum dot give results in good agreement with…

Condensed Matter · Physics 2009-10-28 O. Heinonen , M. I. Lubin , M. D. Johnson

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic , Harold U. Baranger

We consider how the nature of the dynamics affects ground state properties of ballistic quantum dots. We find that ``mesoscopic Stoner fluctuations'', that arise from the residual screened Coulomb interaction, are very sensitive to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic

We present a thorough analysis of the electron density distribution (shape) of two electrons, confined in the three-dimensional harmonic oscillator potential, as a function of the perpendicular magnetic field.Explicit algebraic expressions…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 N. S. Simonovic , R. G. Nazmitdinov

We study electronic transport through a strongly interacting quantum dot by using the finite temperature extension of Wilson's numerical renormalization group (NRG) method. This allows the linear conductance to be calculated at all…

Strongly Correlated Electrons · Physics 2007-05-23 T. A. Costi
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