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With the help of a multi-configurational Green's function approach we simulate single-electron Coulomb charging effects in gated ultimately scaled nanostructures which are beyond the scope of a selfconsistent mean-field description. From…

Other Condensed Matter · Physics 2007-05-23 K. M. Indlekofer , J. Knoch , J. Appenzeller

We calculate the spatial entanglement between two electrons trapped in a nanostructure for a broad class of confinement potentials, including single and double quantum dots, and core-shell quantum dot structures. By using a parametrized…

Quantum Physics · Physics 2015-05-13 S. Abdullah , J. P. Coe , I. D'Amico

The charging energy of a quantum dot is measured through the effect of its potential on the conductance of a second dot. This technique allows a measurement of the scaling of the dot's charging energy with the conductance of the tunnel…

Condensed Matter · Physics 2009-10-28 L. W. Molenkamp , K. Flensberg , M. Kemerink

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

Quantum shape effect appears under the size-invariant shape transformations of strongly confined structures. Such a transformation distinctively influences the thermodynamic properties of confined particles. Due to their characteristic…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Alhun Aydin , Jonas Fransson , Altug Sisman

Sequential single-electron charging is observed in InAs Self-Assembled Quantum Dots using capacitance spectroscopy. In this system, the Coulomb energy is smaller than the inter-level energy spacings due to the quantum confinement and both…

Condensed Matter · Physics 2009-10-28 G. Medeiros-Ribeiro , F. G. Pikus , P. M. Petroff , A. L. Efros

We have proposed and validated an ansatz as effective potential for confining electron/hole within spherical quantum dot in order to understand quantum confinement and its consequences associated with energy states and band gap of Spherical…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 P. Borah , D. Siboh , P. K. Kalita , J. K. Sarma , N. M. Nath

We report calculations for electronic ground states of parabolically confined quantum dots for up to 30 electrons based on the quantum Monte Carlo method. Effects of the electron-electron interaction and the response to a magnetic field are…

Strongly Correlated Electrons · Physics 2007-05-23 V. Popsueva , T. Matthey , J. P. Hansen , L. Kocbach , M. Hjorth-Jensen

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

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

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

In this work, we investigate the effects of rotation on the physical properties of a quantum dot described by a radial potential and subjected to a rotating reference frame. The interplay between rotation and confinement is analyzed by…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Luís Fernando C. Pereira , Edilberto O. Silva

We study the system consisted of two electrons in a quantum dot with a three-dimensional harmonic confinement potential under the effect of a magnetic field. Specifically, two different confinement conditions are considered, one isotropic…

Strongly Correlated Electrons · Physics 2020-08-26 A. M. Maniero , C. R. de Carvalho , F. V. Prudente , Ginette Jalbert

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 present analytic estimates for the energy levels of N electrons (N = 2 - 5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Augusto Gonzalez

In this work, the classical and the quantum capacitances are calculated for a Fabry-P\'{e}rot interferometer operating in the integer quantized Hall regime. We first consider a rotationally symmetric electrostatic confinement potential and…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 O. Kilicoglu , D. Eksi , A. Siddiki

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

Thermodynamic properties of confined systems depend on sizes of the confinement domain due to quantum nature of particles. Here we show that shape also enters as a control parameter on thermodynamic state functions. By considering specially…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Alhun Aydin , Altug Sisman

In the present work we use the Li\'enard-Wiechert potential to show that very violent fluctuations are experienced by an electromagnetic charged extended particle when it is perturbed from its rest state. The feedback interaction of…

Quantum Physics · Physics 2020-06-15 Álvaro G. López

Strong confinement of charges in few electron systems such as in atoms, molecules and quantum dots leads to a spectrum of discrete energy levels that are often shared by several degenerate quantum states. Since the electronic structure is…

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