Abstract
In this paper, we explore the quantum phase transitions in the XY chain and the XXZ model. The quantum correlated coherence has been introduced by Tan and Jeong [Phys. Rev. Lett. 121, 220401 (2018)]. We utilize the quantum correlated coherence to investigate the quantum critical systems. We also demonstrate the Hellinger distance which shows the quantum critical behaviors. The numerical results are presented and analyzed in details.
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