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The electron interaction energy of two interacting electrons in a circular quantum dot (with hard wall confinement) is investigated in the framework of the semi-classical Wentzel-Kramers-Brillouin (WKB) approximation. The two electrons are…

Quantum Physics · Physics 2007-05-23 Anjana Sinha , Y. P. Varshni

We study theoretically phonon-assisted relaxation processes in a system consisting of one or two electrons confined in two vertically stacked self-assembled quantum dots. The calculation is based on a k.p approximation for single particle…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 Krzysztof Gawarecki , Michał Pochwała , Anna Grodecka-Grad , Paweł Machnikowski

We analyze theoretically the effects of electron-phonon interaction in the dynamics of an electron that can be trapped to a localized state and detrapped to an extended band state of a small quantum dot (QD) using a simple model system. In…

Mesoscale and Nanoscale Physics · Physics 2021-12-03 R. Carmina Monreal

Electron tunneling through quantum-dots side coupled to a quantum wire, in equilibrium and nonequilibrium Kondo regime, is studied. The mean-field finite-$U$ slave-boson formalism is used to obtain the solution of the problem. We have found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pedro A. Orellana , Gustavo A. Lara , Enrique V. Anda

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

The coherent quantum dynamics of an electron in the quantum-dot ring structure under the resonant electromagnetic pulse is studied theoretically. A possibility of the selective electron transfer between any two dots is demonstrated. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. V. Tsukanov , L. A. Openov

The energy spectrum and corresponding wave functions of two bosonic particles confined in a spherically symmetric shell trap and interacting via a three-dimensional zero-range potential are computed. Confinement-induced resonances,…

Quantum Physics · Physics 2025-07-01 C. Moritz Carmesin , Maxim A. Efremov

Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic potentials and nonlinear dynamics in Anti-de Sitter…

Mathematical Physics · Physics 2018-12-17 Oleg Evnin , Worapat Piensuk

We solve a two-body problem for electrons in a one-dimensional system to show that two-electron bound states can arise as a result of the image-potential-induced spin-orbit interaction (iSOI). The iSOI contributes an attractive component to…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vladimir A. Sablikov

The optical properties of excitons confined in initially-unstrained GaAs/AlGaAs quantum dots are studied as a function of a variable quasi-uniaxial stress. To allow the validation of state-of-the-art computational tools for describing the…

We present transport measurements of the Kondo effect in a double quantum dot charged with only one or two electrons, respectively. For the one electron case we observe a surprising quasi-periodic oscillation of the Kondo conductance as a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. M. Schröer , A. K. Hüttel , K. Eberl , S. Ludwig , M. N. Kiselev , B. L. Altshuler

In these lecture notes we will consider systems in which the motion of electrons is confined to one dimension (1D). In these so-called quantum wires electron-electron interaction effects play an important role because the restricted…

Strongly Correlated Electrons · Physics 2009-09-08 Sebastian Eggert

Spin properties of two interacting electrons in a quantum dot (QD) embedded in a nanowire with controlled aspect ratio and longitudinal magnetic fields are investigated by using a configuration interaction (CI) method and exact…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Yan-Ting Chen , Shun-Jen Cheng , Chi-Shung Tang

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 study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a…

Chaotic Dynamics · Physics 2007-05-23 Jayme De Luca

We investigated the time dependence of two-electron spin states in a double quantum dot fabricated in an InAs nanowire. In this system, spin-orbit interaction has substantial influence on the spin states of confined electrons. Pumping…

Mesoscale and Nanoscale Physics · Physics 2009-04-30 A. Pfund , I. Shorubalko , K. Ensslin , R. Leturcq

Via projection operator technology, we restrict our discussion of Double Quantum Dots system in subspaces of fixed electron population. When an incident electron tries to pass through the dots, we find transmission peaks occur, if the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuhui He , Qin-Wei Shi

Quasi-static transport measurements are employed to characterize a few electron quantum dot electrostatically defined in a GaAs/AlGaAs heterostructure. The gate geometry allows observations on one and the same electron droplet within a wide…

Mesoscale and Nanoscale Physics · Physics 2009-08-19 A. K. Huettel , K. Eberl , S. Ludwig

We calculate in a linear response the admittance of a quantum dot out of equilibrium. The interaction between two electrons with opposite spins simultaneously residing on the resonant level is modeled by an Anderson Hamiltonian. The…

Condensed Matter · Physics 2009-10-22 T. Ivanov , V. Valtchinov , L. T. Wille

We theoretically study the optical properties and the electronic structure of highly elongated quantum dots (quantum dashes) and show how carrier trapping due to geometrical fluctuations of the confining potential affects the excitonic…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Piotr Kaczmarkiewicz , Paweł Machnikowski