Correlation energy and spin polarization in the 2D electron gas

Details Correlation energy and spin polarization in the 2D electron gas Correlation energy and spin polarization in the 2D electron gas

2001-09-26

arxiv.org/abs/cond-mat/0109492v4

Phys. Rev. Lett. 88, 256601 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

Minor typos corrected, see erratum: Phys. Rev. Lett. 91, 109902(E) (2003)

Scientific paper

10.1103/PhysRevLett.88.256601

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We give a simple analytic representation of the correlation energy which fits the density and polarization dependence of the simulation data and includes several known high- and low-density limits. This parametrization provides a reliable local spin density energy functional for two-dimensional systems and an estimate for the spin susceptibility. Within the proposed model for the correlation energy, a weakly first--order polarization transition occurs shortly before Wigner crystallization as the density is lowered.

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