Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas

For the two-dimensional (2D) electron gas, the leading term in the high-density limit of the correlation energy is evaluated here numerically for all values of the spin polarization. The result is spin-resolved into up arrowup arrow, up arrowdown arrow, and down arrowdown arrow contributions and parametrized analytically. Interaction-strength interpolation yields a local spin-density functional (LSD) for the correlation energy in 2D at finite densities.