Correlation energy in a spin polarized two dimensional electron liquid in the high density limit

TL;DR

This paper derives an analytic expression for the correlation energy contribution from ring diagrams in a spin-polarized two-dimensional electron liquid, aiding the development of more accurate spin-density functionals.

Contribution

It provides a novel analytic formula for the ring diagrams contribution to correlation energy in 2D electron liquids with spin polarization.

Findings

Analytic expression for correlation energy as a function of spin polarization.

Improves the accuracy of spin-density functional constructions.

Facilitates better interpolation formulas for 2D electron systems.

Abstract

We have obtained an analytic expression for the ring diagrams contribution to the correlation energy of a two dimensional electron liquid as a function of the uniform fractional spin polarization. Our results can be used to improve on the interpolation formulas which represent the basic ingredient for the constructions of modern spin-density functionals in two dimensions.