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Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

The shifted 1/N expansion technique, used by El-Said (Phys. Rev. B 61, 13026 (2000)), to study the relative Hamiltonian of two interacting electrons confined in a quantum dot, is investigated. El-Said's results from SLNT are revised and…

Soft Condensed Matter · Physics 2015-06-24 Omar Mustafa

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 report on the electronic properties of few interacting electrons confined in a parabolic quantum dot based on a theoretical approach developed to investigate the influence of Bychkov-Rashba spin-orbit (SO) interaction on such a system.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pekka Pietilainen , Tapash Chakraborty

In this paper we assume quantum dots can be assimilated to Fermi Hubbard sites when the Coulomb interaction between electrons is higher compared to their tunneling. The study of pairwise entanglement in a small size array of quantum dots…

Quantum Physics · Physics 2022-03-03 Sanaa Abaach , Mustapha Faqir , Morad El Baz

We study a two dimensional electron system in a parabolic confining potential and constant magnetic field for the case of harmonic electron-electron interaction. We present analytic results for the electrochemical potential versus magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Antimo Angelucci , Arturo Tagliacozzo

A system consisting of two independently contacted quantum dots with strong electrostatic interaction shows interdot Coulomb blockade when the dots are weakly tunnel coupled to their leads. It is studied experimentally how the blockade can…

Strongly Correlated Electrons · Physics 2008-11-18 A. Hübel , K. Held , J. Weis , K. v. Klitzing

We present an extensive comparative study of ground-state densities and pair distribution functions for electrons confined in two-dimensional parabolic quantum dots over a broad range of coupling strength and electron number. We first use…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Gattobigio , P. Capuzzi , M. Polini , R. Asgari , M. P. Tosi

We present the renormalized perturbation series for the energy spectrum of the parabolic quantum dot with 2 -- 5 electrons considering ground and the lowest excited states. The proper classification of asymptotic energy levels is performed…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. Anisimovas , A. Matulis

We study the effects of electron-electron correlations and confinement potential on the far-infrared spectrum of a lateral two-electron quantum dot molecule by exact diagonalization. The calculated spectra directly reflect the lowered…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , A. Harju , R. M. Nieminen

We demonstrate here that the dipole-allowed optical absorption spectrum of a parabolic quantum dot subjected to an external magnetic field reflects the inter-electron interaction effects when the spin-orbit interaction is also taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tapash Chakraborty , Pekka Pietiläinen

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

Quantum Physics · Physics 2017-07-18 Przemyslaw Koscik , Anna Okopinska

In this work, we investigate the thermal quantum correlations in two coupled double semiconductor charge qubits. This is carried out by deriving analytical expressions for both the thermal concurrence and the correlated coherence. We study,…

Quantum Physics · Physics 2023-07-19 Cleverson Filgueiras , Onofre Rojas , Moises Rojas

Double-slit experiments inferring the phase and the amplitude of the transmission coefficient performed at quantum dots (QD), in the Coulomb blockade regime, present anomalies at the phase changes depending on the number of electrons…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 A. I. Mese , A. Bilekkaya , S. Arslan , S. Aktas , A. Siddiki

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 investigate the effects of electron correlations on the ground state energy and the chemical potential of a droplet confined by a parabolic potential at high magnetic fields. We demonstrate the importance of correlations in estimating…

Condensed Matter · Physics 2009-10-28 Kang-Hun Ahn , J. H. Oh , K. J. Chang

We consider a quasi one-dimensional quantum dot composed of two Coulombically interacting electrons confined in a Gaussian trap. Apart from bound states, the system exhibits resonances that are related to the autoionization process.…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Arkadiusz Kuroś , Anna Okopińska

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

Coupled elliptic quantum dots with different aspect ratios containing up to two electrons are studied using a model confinement potential in the presence of magnetic fields. Single and two particle Schroedinger equations are solved using…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

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
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