Spin resolved energy parametrization of a quasi-one-dimensional electron   gas
  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. 
Luke Shulenburger, Michele Casula, Gaetano Senatore, and Richard M.   Martin