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Paper   IPM / Physic / 7229
School of Physics
  Title:   Analytic Theory of Ground-State Properties of a Three-Dimensional Electron with Arbitrary Spin Polarization
1.  B. Davoudi
2.  R. Asgari
3.  M. Polini
4.  M. P. Tosi
  Status:   Published
  Journal: Phys. Rev. B
  Vol.:  68
  Year:  2003
  Pages:   155112-1-9
  Supported by:  IPM
We present an analytic theory of the spin-resolved pair distribution functions gσσ′(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 Weizsäcker-Herring ideal kinetic energy functional to derive a zero-energy scattering Schrödinger equation for √{gσσ′(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 gσσ′(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.

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