Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-05-13
Phys. Rev. B 68, 155112 (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
13 pages, 8 figures, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.68.155112
We present an analytic theory of the spin-resolved pair distribution functions $g_{\sigma\sigma'}(r)$ and the ground-state energy of an electron gas with an arbitrary degree of spin polarization. We first use the Hohenberg-Kohn variational principle and the von Weizs\"{a}cker-Herring ideal kinetic energy functional to derive a zero-energy scattering Schr\"{o}dinger equation for $\sqrt{g_{\sigma\sigma'}(r)}$. The solution of this equation is implemented within a Fermi-hypernetted-chain approximation which embodies the Hartree-Fock limit and is shown to satisfy an important set of sum rules. We present numerical results for the ground-state energy at selected values of the spin polarization and for $g_{\sigma\sigma'}(r)$ in both a paramagnetic and a fully spin-polarized electron gas, in comparison with the available data from Quantum Monte Carlo studies over a wide range of electron density.
Asgari Reza
Davoudi Bahman
Polini Marco
Tosi Mario P.
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