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We provide a quantitative determination of the crystallization onset for two electrons in a parabolic two-dimensional confinement. This system is shown to be well described by a roto-vibrational model, Wigner crystallization occurring when…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Antonio Puente , Llorens Serra , Rashid G. Nazmitdinov

One can confine the two-dimensional electron gas in semiconductor heterostructures electrostatically or by etching techniques such that a small electron island is formed. These man-made ``artificial atoms'' provide the experimental…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Koskinen , M. Manninen , B. Mottelson , S. M. Reimann

Using the method of breaking of circular symmetry and of subsequent symmetry restoration via projection techiques, we present calculations for the ground-state energies and excitation spectra of N-electron parabolic quantum dots in strong…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuesong Li , Constantine Yannouleas , Uzi Landman

We model quasi-two-dimensional two-electron Quantum Dots in a parabolic confinement potential with rovibrational and purely vibrational effective Hamiltonian operators. These are optimized by non-linear least-square fits to the exact energy…

Mesoscale and Nanoscale Physics · Physics 2017-04-27 Torsten Victor Zache , Aniruddha Chakraborty

Restoration of broken circular symmetry is used to explore the characteristics of the ground states and the excitation spectra of rotating Wigner molecules (RWM's) formed in two-dimensional parabolic N-electron quantum dots. In high…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Constantine Yannouleas , Uzi Landman

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

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 present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The…

Quantum Physics · Physics 2017-07-17 Przemyslaw Koscik , Anna Okopinska

Using far-infrared spectroscopy, we investigate the excitations of self-organized InAs quantum dots as a function of the electron number per dot, 1<n<6, which is monitored in situ by capacitance spectroscopy. Whereas the well-known two-mode…

Condensed Matter · Physics 2009-10-28 M. Fricke , A. Lorke , J. P. Kotthaus , G. Medeiros-Ribeiro , P. M. Petroff

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

In this work, the spin dynamics of a single electron under parametric modulation of a lateral quantum dot's electrostatic potential in the presence of spin-orbit coupling is investigated. Numerical and theoretical calculations demonstrate…

Other Condensed Matter · Physics 2009-11-13 Jamie D. Walls

We discussed exact solutions of the Schroedinger equation for a two-dimensional parabolic confinement potential in a homogeneous external magnetic field. It turns out that the two-electron system is exactly solvable in the sense, that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Manfred Taut , Helmut Eschrig

Exact-diagonalization calculations for N=3 electrons in anisotropic quantum dots, covering a broad range of confinement anisotropies and strength of inter-electron repulsion, are presented for zero and low magnetic fields. The excitation…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 Yuesong Li , Constantine Yannouleas , Uzi Landman

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…

We discuss symmetry breaking in two-dimensional quantum dots resulting from strong interelectron repulsion relative to the zero-point kinetic energy associated with the confining potential. Such symmetry breaking leads to the emergence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Constantine Yannouleas , Uzi Landman

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

The crystalline or liquid character of the downward cusp states in N-electron parabolic quantum dots (QD's) at high magnetic fields is investigated using conditional probability distributions obtained from exact diagonalization. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Constantine Yannouleas , Uzi Landman

The possibility of laser cooling and the presence of closely spaced rovibrational doublets make polyatomic molecules an attractive platform for the $\mathcal{P}$, $\mathcal{T}$-violation searches. We study the spectrum of the lowest…

Atomic Physics · Physics 2026-05-15 Anna Zakharova

We study effects of electron-electron interactions and confinement potential on the magneto-optical absorption spectrum in the far-infrared range of lateral quantum dot molecules. We calculate far-infrared (FIR) spectra for three different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Helle , A. Harju , R. M. Nieminen

When a strong electric field is applied to a colloidal suspension, it may cause an aggregation of the suspended particles in response to the field. In the case of a rotating field, the electrorotation (ER) spectrum can be modified further…

Soft Condensed Matter · Physics 2007-05-23 J. P. Huang , K. W. Yu , G. Q. Gu
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