Correlation effect investigations on the Magneto-optical Kerr Spectra of Co-based Heusler alloys from first principles

Here, we report our \textit{ab-initio} calculational results on the electronic structures and magneto-optical (MO) properties of the ferromagnetic Co$_{2}$Mn$X$ full Heusler alloys. Employing the +U corrections for the transition metal 3$d$ bands in addition to the local density approximation (LDA), we investigate the correlation effect on the MO spectra in polar geometry as well as the detailed electronic structures using FLAPW [1] method. Results show that the correlation effect results in a blue-shift of the peak positions and large enhancement of the low energy MO spectra, which are attributed to the increased t$_{2g}$-e$_{g}$ splitting of spin minority Co and Mn $d-$bands indicating the suppression of diagonal elements of optical conductivity at energy region of 1$\sim $2 eV where the interband transitions are forbidden.\\[4pt] [1] E. Wimmer, K. Krakauer, M. Wienert, and A.J. Freeman, Phys.Rev B 24, 864 (1981).