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

We show an application of the functional-renormalization-group aided density functional theory to the homogeneous electron gas with arbitrary spin polarization, which gives an energy density functional in the local spin density approximation. The correlation energy per particle is calculated at arbitrary Wigner-Seitz radius rs 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.

Automated summary

We applied functional-renormalization-group aided density functional theory to study the homogeneous electron gas with arbitrary spin polarization. Our calculation provides an energy density functional in the local spin density approximation. The correlation energy per particle is calculated at different Wigner-Seitz radius and spin polarization, and compared with Monte Carlo data. The results show good agreement in the high-density region, better in the case of small spin polarization, and the discrepancy increases as the spin polarization increases. The magnetic properties given by our numerical results are also discussed.