Oxynitride
MnTaO2N exhibits a helical spin order in
contrast to the isostructural oxide MnTiO3 with a G-type
antiferromagnetism. To understand the role of the nitride ions on
the magnetism, in this study, we theoretically investigated the structural
and magnetic properties of MnTaO2N. Band calculations based
on the density functional theory revealed that besides the most stable
anion coordinations of cis-MO4N2 octahedra (M = Mn and Ta), the other coordinations
such as trans-MO4N2, MO3N3, and MO5N are also considered to coexist due to the small total energy
difference. This results in random existence of the nitride ions in
MnTaO2N. The magnetic properties were investigated using
the Heisenberg model to quantify the coupling energy (J) between Mn 3d5 local moments. Interestingly, the average J of the Mn–N–Mn bonds (J
1N) was four times larger than that of the Mn–O–Mn
bonds (J
1O), mainly due to the covalent
nature of Mn–N bonds. In comparison to MnTiO3, which
contains only one type of magnetic interaction, J
1O, MnTaO2N has various kinds of magnetic interactions
due to the random existence of the nitride ions. In addition, the J
1O value became comparable to the next-nearest-neighbor
interaction (J
2). These results caused
spin frustration, which is a prerequisite to the emergence of the
helical spin order in MnTaO2N.