Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas

TL;DR

This paper numerically evaluates the spin-resolved second-order correlation energy of the 2D electron gas across all spin polarizations and provides an analytical parametrization, leading to a simple model for finite-density correlation energy.

Contribution

It introduces a numerical evaluation of the high-density limit of the spin-resolved correlation energy and develops an analytical parametrization and a simple interaction-strength interpolation model.

Findings

Spin-resolved correlation energies are obtained for all spin polarizations.

An analytical parametrization of the correlation energy contributions is provided.

A simple LSD model for finite-density correlation energy is proposed.

Abstract

For the two-dimensional electron gas, the exact high-density limit of the correlation energy is evaluated here numerically for all values of the spin polarization. The result is spin-resolved into $\uparrow\uparrow$, $\uparrow\downarrow$, and $\downarrow\downarrow$ contributions and parametrized analytically. Interaction-strength interpolation yields a simple model (LSD) for the correlation energy at finite densities.