Exact energy of the spin-polarized two-dimensional electron gas at high density

TL;DR

This paper derives an exact high-density expansion of the energy for the spin-polarized two-dimensional electron gas, providing precise analytical insights into its energetic behavior at small Seitz radii.

Contribution

It presents the first exact $O(r_s)$ expansion of the energy for the high-density 2D spin-polarized electron gas, advancing theoretical understanding.

Findings

Derived the exact $O(r_s)$ energy expansion

Provided analytical expressions for high-density limit

Enhanced theoretical models of 2D electron systems

Abstract

We derive the exact expansion, to $O(r_s)$, of the energy of the high-density spin-polarized two-dimensional uniform electron gas, where $r_s$ is the Seitz radius.