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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 spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

We study the spin filling of a semiconductor quantum dot using excited-state spectroscopy in a strong magnetic field. The field is oriented in the plane of the two-dimensional electron gas in which the dot is electrostatically defined. By…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. H. Willems van Beveren , R. Hanson , I. T. Vink , F. H. L. Koppens , L. P. Kouwenhoven , L. M. K. Vandersypen

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with…

Condensed Matter · Physics 2009-11-07 Yeong E. Kim , Alexander L. Zubarev

The excitation spectrum of a two-electron quantum dot is investigated by tunneling spectroscopy in conjuction with theoretical calculations. The dot made from a material with negligible Zeeman splitting has a moderate spatial anisotropy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Ellenberger , T. Ihn , C. Yannouleas , U. Landman , K. Ensslin , D. Driscoll , A. C. Gossard

We optically probe the spectrum of ground and excited state transitions of an individual, electrically tunable self-assembled quantum dot molecule. Photocurrent absorption measurements show that the spatially direct neutral exciton…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 K. Müller , G. Reithmaier , E. C. Clark , V. Jovanov , M. Bichler , H. J. Krenner , M. Betz , G. Abstreiter , J. J. Finley

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

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the $N$-particle eigenmodes.

Strongly Correlated Electrons · Physics 2009-11-11 K. Balzer , C. Nölle , M. Bonitz , A. Filinov

With non-invasive methods, we investigate ground and excited states of a lateral quantum dot. Charge detection via a quantum point contact is used to map the dot dynamics in a regime where the current through the dot is too low for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , B. Harke , C. Fricke , F. Hohls , M. Reinwald , W. Wegscheider , R. J. Haug

Making use of self-assembly techniques, we demonstrate the realization of nanoscopic semiconductor quantum rings in which the electronic states are in the true quantum limit. We employ two complementary spectroscopic techniques to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Lorke , R. J. Luyken , A. O. Govorov , J. P. Kotthaus , J. M. Garcia , P. M. Petroff

We theoretically investigate the ground-state properties of a quantum dot defined on the surface of a strong three-dimensional time-reversal invariant topological insulator. Confinement is realized by ferromagnetic barriers and Coulomb…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Christophe De Beule , Niccolo T. Ziani , Mohammad Zarenia , Bart Partoens , Bjoern Trauzettel

It is shown that the ground-state and the lowest excited-states of two-dimensional electron system (2DES), with ion jellium background, correspond to partial crystal-like (with the period $L_{x}^{\square}=\sqrt{2 m \pi} \ell_{0}$)…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 O. G. Balev

Measurements and a theoretical interpretation of the excitation spectrum of a two-electron quantum dot fabricated on a parabolic Ga[Al]As quantum well are reported. Experimentally, excited states are found beyond the well-known lowest…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 T. Ihn , C. Ellenberger , K. Ensslin , Constantine Yannouleas , Uzi Landman , D. C. Driscoll , A. C. Gossard

We compute the ground state energy of atoms and quantum dots with a large number N of electrons. Both systems are described by a non-relativistic Hamiltonian of electrons in a d-dimensional space. The electrons interact via the Coulomb…

Quantum Physics · Physics 2015-05-14 Hervé Kunz , Rico Rueedi

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

The electronic properties of semiconductor, vertical, double quantum dot systems with few electrons are investigated by means of analytic, configuration-interaction, and mean-field methods. The combined effect of a high magnetic field,…

Condensed Matter · Physics 2009-10-22 Juan Jose Palacios , Pawel Hawrylak

Two-dimensional interacting electron systems become strongly correlated if the electrons are subject to a perpendicular high magnetic field. After introducing the physics of the quantum Hall regime the incompressible many- particle ground…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Marcus Kasner

We study the effects of electron-electron interactions in a circular few-electron vertical quantum dot in such a strong magnetic field that the filling factor $\nu\le 1$. We measure excitation spectra and find ground state transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Nishi , P. A. Maksym , D. G. Austing , T. Hatano , L. P. Kouwenhoven , H. Aoki , S. Tarucha

We study the evolution with magnetic field of the single-particle energy levels high up in the energy spectrum of one dot as probed by the ground state of the adjacent dot in a weakly coupled vertical quantum dot molecule. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Payette , D. G. Austing , G. Yu , J. A. Gupta , S. V. Nair , B. Partoens , S. Amaha , S. Tarucha
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