Exchange-correlation energy densities for two-dimensional systems from quantum dot ground-states

Abstract

In this paper we present a new approach how to extract polarization-dependent exchange-correlation energy densities for two-dimensional systems from reference densities and energies of quantum dots provided by exact diagonalization. Compared with results from literature we find systematic corrections for all polarizations in the regime of high densities.

7 figures. submitted to Phys. Rev. B

References in corpus (8)

• Correlation energy and spin polarization in the 2D electron gas
• Spin-density-functional theory of circular and elliptical quantum dots
• On the formation of Wigner molecules in small quantum dots
• Ellipsoidal deformation of vertical quantum dots
• Nonuniqueness of the Potentials of Spin-Density-Functional Theory
• The Collapse of the Spin-Singlet Phase in Quantum Dots
• Laterally coupled few-electron quantum dots
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Cited by in corpus (3)

• Violation of non-interacting $\mathcal{V}$-representability of the exact solutions of the Schrödinger equation for a two-electron quantum dot in a homogeneous magnetic field
• Exchange-correlation vector potentials and vorticity-dependent exchange-correlation energy densities in two-dimensional systems
• Analytic approach to the ground-state energy of charged anyon gases