Local field factors in a polarized two-dimensional electron gas

TL;DR

This paper derives approximate formulas for the static local field factors in a spin-polarized 2D electron gas, showing how spin polarization affects local field functions, especially for minority spins, with validation against Monte Carlo data.

Contribution

It introduces analytical expressions for local field factors that interpolate between asymptotic limits and incorporate spin polarization effects.

Findings

Analytical expressions match diffusion Monte Carlo data for unpolarized gases.

Spin polarization significantly modifies minority spin local field factors.

Majority spin local field functions are less affected by polarization.

Abstract

We derive approximate expressions for the static local field factors of a spin polarized two-dimensional electron gas which smoothly interpolate between their small- and large-wavevector asymptotic limits. For the unpolarized electron gas, the proposed analytical expressions reproduce recent diffusion Monte Carlo data. We find that the degree of spin polarization produces important modifications to the local factors of the minority spins, while the local field functions of the majority spins are less affected.