Scaling in the correlation energies of two-dimensional artificial atoms (Articolo in rivista)

Type
Label
  • Scaling in the correlation energies of two-dimensional artificial atoms (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/0953-8984/25/50/505504 (literal)
Alternative label
  • Odriazola, Alexander; Ervasti, Mikko M.; Makkonen, Ilja; Delgado, Alain; Gonzalez, Augusto; Rasanen, Esa; Harju, Ari (2013)
    Scaling in the correlation energies of two-dimensional artificial atoms
    in Journal of physics. Condensed matter (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Odriazola, Alexander; Ervasti, Mikko M.; Makkonen, Ilja; Delgado, Alain; Gonzalez, Augusto; Rasanen, Esa; Harju, Ari (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 25 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 5 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 50 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Aalto University; Tampere University of Technology; Aalto University; Consiglio Nazionale delle Ricerche (CNR)NANO ; Ctr Aplicac Tecnol & Desarrollo Nucl CEADEN; Inst Cybernet Math & Phys ICIMAF (literal)
Titolo
  • Scaling in the correlation energies of two-dimensional artificial atoms (literal)
Abstract
  • We find an unexpected scaling in the correlation energy of artificial atoms, i.e., harmonically confined two-dimensional quantum dots. The scaling relation is found through extensive numerical examinations including Hartree-Fock, variational quantum Monte Carlo, density functional, and full configuration interaction calculations. We show that the correlation energy, i. e., the true ground-state total energy minus the Hartree-Fock total energy, follows a simple function of the Coulomb energy, confinement strength and number of electrons. We find an analytic expression for this function, as well as for the correlation energy per particle and for the ratio between the correlation and total energies. Our tests for independent diffusion Monte Carlo and coupled-cluster results for quantum dots-including open-shell data-confirm the generality of the scaling obtained. As the scaling also applies well to greater than or similar to 100 electrons, our results give interesting prospects for the development of correlation functionals within density functional theory. (literal)
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