Ground-state densities and pair correlation functions in parabolic quantum dots

Details Ground-state densities and pair correlation functions in parabolic quantum dots Ground-state densities and pair correlation functions in parabolic quantum dots

2005-01-17

arxiv.org/abs/cond-mat/0501375v1

Phys. Rev. B 72, 045306 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

18 pages, 12 figures, submitted

Scientific paper

10.1103/PhysRevB.72.045306

We present an extensive comparative study of ground-state densities and pair distribution functions for electrons confined in two-dimensional parabolic quantum dots over a broad range of coupling strength and electron number. We first use spin-density-functional theory to determine spin densities that are compared with Diffusion Monte Carlo (DMC) data. This accurate knowledge of one-body properties is then used to construct and test a local approximation for the electron-pair correlations. We find very satisfactory agreement between this local scheme and the available DMC data, and provide a detailed picture of two-body correlations in a coupling-strength regime preceding the formation of Wigner-like electron ordering.

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