Scaling in the correlation energies of two-dimensional artificial atoms.
J Phys Condens Matter
; 25(50): 505504, 2013 Dec 18.
Article
en En
| MEDLINE
| ID: mdl-24275597
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 â³100 electrons, our results give interesting prospects for the development of correlation functionals within density functional theory.
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1
Bases de datos:
MEDLINE
Asunto principal:
Teoría Cuántica
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Método de Montecarlo
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Electrones
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Modelos Químicos
Tipo de estudio:
Health_economic_evaluation
Idioma:
En
Revista:
J Phys Condens Matter
Asunto de la revista:
BIOFISICA
Año:
2013
Tipo del documento:
Article
País de afiliación:
Finlandia