Having opted for a lower maximal temperature of 1100 K, it is crucial to check that this value is still high enough for the crystal to melt. This is first evidenced by computing the mean square displacement (MSD) over time, shown in Figure for Zn. At temperatures above 1000 K, we identify a diffusive behavior for the system, as expected for a liquid. In addition, similarly to previous ab initio works, we computed the generalized Lindemann ratio from the width of the first peak in the Zn-N partial RDF. A solid is usually considered to be melting when the value of this ratio, which quantifies the liquid nature of the system, is between 10 and 15%. Although less precise than the MSD, this estimate, shown on Figure , provides further evidence that the system is in a liquid state at 1100 K.