Abstract:
The linear muffin-tin orbital method in the local density approximation (LDA + $U$) explicitly considering Coulomb correlations has been applied to calculate the electronic structure, magnetic moments, and parameters of the Heisenberg exchange interaction for cobalt ions in BaCoS$_2$. Five solutions close in total energy with various orbital ordering of Co$^{2+}$ ions and almost identical spin magnetic moments
$\mu$ = 2.32 $\mu_{\mathrm{B}}$ of the Co$^{2+}$ ion 3$d$-shell have been found. The BaCoS$_2$ ground state can be considered as a set of energy-degenerate orbital-ordered configurations of Co$^{2+}$ ions in the high-spin state.