Geometric discord approach to quantum phase transition in the anisotropy XY spin model

We investigate the quantum critical behavior in the anisotropy XY spin chain by means of geometric discord (DG). Near the critical point, the key ingredients of the quantum criticality (e.g, finite-size scaling behavior, universality principle and critical exponents) are investigated carefully, and the results show that the DG is reliable to characterize the quantum critical behavior in such system.