Pair-distribution functions of the two-dimensional electron gas
Abstract
Based on its known exact properties and a new set of extensive fixed-node reptation quantum Monte Carlo simulations (both with and without backflow correlations, which in this case turn out to yield negligible improvements), we propose a new analytical representation of (i) the spin-summed pair-distribution function and (ii) the spin-resolved potential energy of the ideal two-dimensional interacting electron gas for a wide range of electron densities and spin polarization, plus (iii) the spin-resolved pair-distribution function of the unpolarized gas. These formulae provide an accurate reference for quantities previously not available in analytic form, and may be relevant to semiconductor heterostructures, metal-insulator transitions and quantum dots both directly, in terms of phase diagram and spin susceptibility, and indirectly, as key ingredients for the construction of new two-dimensional spin density functionals, beyond the local approximation.
Keywords
Cite
@article{arxiv.cond-mat/0403050,
title = {Pair-distribution functions of the two-dimensional electron gas},
author = {Paola Gori-Giorgi and Saverio Moroni and Giovanni B. Bachelet},
journal= {arXiv preprint arXiv:cond-mat/0403050},
year = {2009}
}
Comments
12 pages, 10 figures; misprints corrected