Correlation energy and spin polarization in the 2D electron gas
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0109492,
title = {Correlation energy and spin polarization in the 2D electron gas},
author = {Claudio Attaccalite and Saverio Moroni and Paola Gori-Giorgi and Giovanni B. Bachelet},
journal= {arXiv preprint arXiv:cond-mat/0109492},
year = {2009}
}
Comments
Minor typos corrected, see erratum: Phys. Rev. Lett. 91, 109902(E) (2003)