One-norm geometric quantum discord and critical point estimation in the XY spin chain

• Comparing with entanglement and QD, one-norm GQD is more robust versus the temperature.
• One-norm GQD is more efficient in characterization of long-range quantum correlation between two distant qubits.
• One-norm GQD performs well in highlighting the critical point of QPT at zero or low finite temperature.
• One-norm GQD has a number of advantages over QD in detecting the critical point of the spin chain.

In contrast with entanglement and quantum discord (QD), we investigate the thermal quantum correlation in terms of Schatten one-norm geometric quantum discord (GQD) in the XY spin chain, and analyze their capabilities in detecting the critical point of quantum phase transition. We show that the one-norm GQD can reveal more properties about quantum correlation between two spins, especially for the long-range quantum correlation at finite temperature. Under the influences of site distance, anisotropy and temperature, one-norm GQD and its first derivative make it possible to detect the critical point efficiently for a general XY spin chain.