Spin resolved energy parametrization of a quasi-one-dimensional electron gas

Abstract

By carrying out extensive lattice regularized diffusion Monte Carlo calculations, we study the spin and density dependence of the ground state energy for a quasi-one-dimensional electron gas, with harmonic transverse confinement and long-range $1/r$ interactions. We present a parametrization of the exchange-correlation energy suitable for spin density functional calculations, which fulfills exact low and high density limits.

9 pages, 3 figures, corrected Eq. 17, added new reference, submitted to J. Phys. A: Math. Theor. as proceedings of the SCCS2008 conference in Camerino, Italy

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• Generalized local-density approximation and one-dimensional finite uniform electron gases
• Density functionals and Kohn-Sham potentials with minimal wavefunction preparations on a quantum computer
• Ground-state properties of electron-electron biwire systems
• Comparison of local density functionals based on electron gas and finite systems
• Leveraging Normalizing Flows for Orbital-Free Density Functional Theory