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

M. Gattobigio·P. Capuzzi·M. Polini·R. Asgari·M. P. Tosi
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Abstract

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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M. Gattobigio, P. Capuzzi, M. Polini, R. Asgari, M. P. Tosi. 2005-01-17. Ground-state densities and pair correlation functions in parabolic quantum dots. https://doi.org/10.1103/physrevb.72.045306

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