Magneto-elastic coupling in a sinusoidal modulated magnet Cr${}_2$GaN

We use neutron powder diffraction to investigate the magnetic and crystalline structure of Cr${}_2$GaN. A magnetic phase transition is identified at $T\approx 170$ K, whereas no trace of structural transition is observed down to 6 K. Combining Rietveld refinement with irreducible representations, the spin configuration of Cr ions in Cr${}_2$GaN is depicted as an incommensurate sinusoidal modulated structure characterized by a propagating vector $k$=(0.365, 0.365, 0). Upon warming up to the paramagnetic state, the magnetic order parameter closely resembles to the temperature dependence of $c$-axis lattice parameter, suggesting strong magneto-elastic coupling in this compound. Therefore, Cr${}_2$GaN provides a potential platform for the exploration of magnetically tuned properties such as magnetoelectric, magnetostrictive and magnetocaloric effects, as well as their applications.