Construction of energy density functional for arbitrary spin polarization using functional renormalization group

TL;DR

This paper develops a new energy density functional for spin-polarized electron gases using the functional renormalization group, achieving good agreement with Monte Carlo data in high-density regimes and providing insights into magnetic properties.

Contribution

It introduces a novel approach to construct energy density functionals for arbitrary spin polarization using the functional renormalization group method.

Findings

Good agreement with Monte Carlo data at high densities

Better accuracy for small spin polarization

Provides insights into magnetic properties of electron gases

Abstract

We show an application of the functional-renormalization-group aided density functional theory to the homogeneous electron gas with arbitrary spin polarization, which gives the energy density functional in the local spin density approximation. The correlation energy per particle is calculated at arbitrary Wigner-Seitz radius $ r_{\rm s} $ and spin polarization $ \zeta $. In the high-density region, our result shows good agreement with Monte Carlo (MC) data. The agreement with MC data is better in the case of small spin polarization, while the discrepancy increases as the spin polarization increases. The magnetic properties given by our numerical results are also discussed.