  We investigate quantum phase transitions in $XY$ spin models using
Dzyaloshinsky-Moriya (DM) interactions. We identify the quantum critical points
via quantum Fisher information and quantum coherence, finding that higher DM
couplings suppress quantum phase transitions. However, quantum coherence
(characterized by the $l_1$-norm and relative entropy) decreases as the DM
coupling increases. Herein, we present both analytical and numerical results.
