Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories

Abstract

We study a model quantum dot system in an external magnetic field by using both the spin-density-functional theory and the current-spin-density-functional theory. The theories are used with local approximations for the spin-density and the vorticity. The reliabilities of different parametrizations for the exchange-correlation functionals are tested by comparing the ensuing energetics with quantum Monte Carlo results. The limit where the vorticity dependence should be used in the exchange-correlation functionals is discussed.

18 pages, 3 figures, 5 eps-figure files

References in corpus (5)

• A novel multigrid method for electronic structure calculations
• Current density functional theory of quantum dots in a magnetic field
• Wigner molecules in quantum dots: a quantum Monte Carlo study
• Ensemble density functional theory of the fractional quantum Hall effect
• An exchange-correlation energy for a two-dimensional electron gas in a magnetic field

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