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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 investigate the properties of many-electron systems in two-dimensional polygonal (triangle, square, pentagon, hexagon) potential wells by using the density functional theory. The development of the ground state electronic structure as a…

Strongly Correlated Electrons · Physics 2009-11-07 E. Rasanen , H. Saarikoski , M. J. Puska , R. M. Nieminen

Using spin-density-functional theory, we study the electronic states of a two-dimensional parabolic quantum dot with up to N=58 electrons. We observe a shell structure for the filling of the dot with electrons. Hund's rule determines the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenji Hirose , Ned S. Wingreen

We use spin-density-functional theory to study the spacing between conductance peaks and the ground-state spin of 2D model quantum dots with up to 200 electrons. Distributions for different ranges of electron number are obtained in both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

We present ground and excited state energies obtained from Diffusion Monte Carlo (DMC) calculations, using accurate multiconfiguration wave functions, for $N$ electrons ($N\le13$) confined to a circular quantum dot. We analyze the…

Condensed Matter · Physics 2009-10-31 F. Pederiva , C. J. Umrigar , E. Lipparini

We use Kohn-Sham spin-density-functional theory to study the statistics of ground-state spin and the spacing between conductance peaks in the Coulomb blockade regime for both 2D isolated and realistic quantum dots. We make a systematic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Denis Ullmo , Weitao Yang , Harold U. Baranger

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Clare Sloggett , Oleg Sushkov

We present a practical and accurate density functional for the exchange-correlation energy of electrons in two dimensions. The exchange part is based on a recent two-dimensional generalized-gradient approximation derived by considering the…

Strongly Correlated Electrons · Physics 2010-06-30 E. Rasanen , S. Pittalis , J. G. Vilhena , M. A. L. Marques

We study the development of electron-electron correlations in circular quantum dots as the density is decreased. We consider a wide range of both electron number, N<=20, and electron gas parameter, r_s<18, using the diffusion quantum Monte…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

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

Using density functional theory, we investigate fluctuations of the ground state energy of spin-polarized, disordered quantum dots in the metallic regime. To compare to experiment, we evaluate the distribution of addition energies and find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Hirose , F. Zhou , N. Wingreen

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

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

The value of the pair distribution function g(r) at contact (r = 0) in a quantum electron gas is determined by the scattering events between pairs of electrons with antiparallel spins. The theoretical results for g(0) as a function of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

The correlation energies for two interacting electrons in a parabolic quantum dot are studied via a pseudo-perturbation recipe. It is shown that the central spike term, ($m^2-1/4)/r^2$, plays a distinctive role in determining the spectral…

Soft Condensed Matter · Physics 2007-05-23 Omar Mustafa

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 correlation between electrons in different quantum wires is expected to affect the electronic properties of quantum electron-electron biwire systems. Here, we use the variational Monte Carlo method to study the ground-state properties…

Quantum Gases · Physics 2021-08-04 Rajesh O. Sharma , N. D. Drummond , Vinod Ashokan , K. N. Pathak , Klaus Morawetz

Currents in a few-electron parabolic quantum dot placed into a perpendicular magnetic field are considered. We show that traditional ways of investigating the Wigner crystallization by studying the charge density correlation function can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Anisimovas , A. Matulis , F. M. Peeters

The ground-state behavior of the symmetric electron-electron and electron-hole bilayers is studied by including dynamic correlation effects within the quantum version of Singwi, Tosi, Land, and Sjolander (qSTLS) theory. The static…

Strongly Correlated Electrons · Physics 2009-11-07 R. K. Moudgil , L. K. Saini , Gaetano Senatore
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