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In this paper we investigate the two manganese pnictides BaMn$_2$As$_2$ andLaMnAsO, using fully charge self-consistent density functional plus dynamicalmean-field theory calculations. These systems have a nominally half-filled dshell, and as a consequence, electronic correlations are strong, placing thesecompounds at the verge of a metal-insulator transition. Although their crystalstructure is composed of similar building blocks, our analysis shows that thetwo materials exhibit a very different effective dimensionality, LaMnAsO beinga quasi-two-dimensional material in contrast to the much more three-dimensionalBaMn$_2$As$_2$. We demonstrate that the experimentally observed differences inthe N\'eel temperature, the band gap, and the optical properties of themanganese compounds under consideration can be traced back to exactly thiseffective dimensionality. Our calculations show excellent agreement withmeasured optical spectra.

Importance of effective dimensionality in manganese pnictides