Ground-state densities and pair correlation functions in parabolic quantum dots
arXiv:cond-mat/0501375 · doi:10.1103/PhysRevB.72.045306
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.
18 pages, 12 figures, submitted
References in corpus (10)
- Correlation energy and spin polarization in the 2D electron gas
- Wigner Crystallization in mesoscopic 2D electron systems
- Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
- Spin-density-functional theory of circular and elliptical quantum dots
- On the formation of Wigner molecules in small quantum dots
- Diffusion Monte Carlo study of circular quantum dots
- Pair-distribution functions of the two-dimensional electron gas
- Simple model for the spherically- and system-averaged pair density: Results for two-electron atoms
- Self-consistent Overhauser model for the pair distribution function of an electron gas in dimensionalities D=3 and D=2
- Erratum: Diffusion Monte Carlo study of circular quantum dots
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- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
- Generalized Heine Identity for Complex Fourier Series of Binomials