  We investigate the pairwise thermal quantum discord in a three-qubit XXZ
model with Dzyaloshinskii-Moriya (DM) interaction. We find that the DM
interaction can increase quantum discord to a fixed value in the anti-
ferromagnetic system, but decreases quantum discord to a minimum first, then
increases it to a fixed value in the ferromagnetic system. Abrupt change of
quantum discord is observed, which indicates the abrupt change of groundstate.
Dynamics of pairwise thermal quantum discord is also considered. We show that
thermal discord vanishes in asymptotic limit regardless of its initial values,
while thermal entanglement suddenly disappears at finite time.
