Ab-initio Calculation of Magnetic Anisotropy Energy of Iron-Gallium Alloy in ${\rm L}1_{2}$ Phase

We calculate magnetic anisotropy energy (MAE) of iron-gallium alloy in L1₂ phase using density functional theory with GGA and GGA+U approach to investigate the effect of Hubbard U on MAE. We find that the number of minority spins plays a key role to the MAE of iron-gallium alloy in L1₂ phase. Depending Hubbard U, the total MAE shows a complicated behavior, but most contribution is from Γ point instead of other high symmetric points in Brillouin zone.