  We study the relationship between the behavior of global quantum correlations
and quantum phase transitions in XY model. We find that the two kinds of phase
transitions in the studied model can be characterized by the features of global
quantum discord (GQD) and the corresponding quantum correlations. We
demonstrate that the maximum of the sum of all the nearest neighbor bipartite
GQDs is effective and accurate for signaling the Ising quantum phase
transition, in contrast, the sudden change of GQD is very suitable for
characterizing another phase transition in the XY model. This may shed lights
on the study of properties of quantum correlations in different quantum phases.
