Quantum correlations in the frustrated XY model on the honeycomb lattice

Sahar Satoori; Saeed Mahdavifar; Javad Vahedi

doi:10.1038/s41598-023-43080-3

Quantum correlations in the frustrated XY model on the honeycomb lattice

Sci Rep. 2023 Sep 25;13(1):16034. doi: 10.1038/s41598-023-43080-3.

Authors

Sahar Satoori^#¹, Saeed Mahdavifar^#², Javad Vahedi^#^{3

4}

Affiliations

¹ Department of Physics, University of Guilan, Rasht, 45196-313, Iran.
² Department of Physics, University of Guilan, Rasht, 45196-313, Iran. smahdavifar@gmail.com.
³ School of Engineering and Science, Jacobs University, Campus Ring 1, 28759, Bremen, Germany.
⁴ Department of Physics, Sari Branch, Islamic Azad University, 48161-19318, Sari, Iran.

^# Contributed equally.

Abstract

We have investigated the spin-1/2 XY frustrated antiferromagnetic Heisenberg honeycomb model, which features an intermediate region in its ground state phase diagram that is not well understood. The two dominant phases in the diagram are the quantum spin-liquid (QSL) and the antiferromagnetic Ising order. Quantum correlations suggest that the QSL phase is likely to exhibit entanglement. To explore this possibility, we utilized numerical Lanczos and density matrix renormalization group (DMRG) methods to calculate concurrence, quantum discord (QD), and entanglement entropy. The results of our study indicate the existence of quantum entanglement within the intermediate region, implying a greater probability for the dominance of the quantum spin-liquid (QSL) phase over the antiferromagnetic Ising order. This discovery underscores the importance of considering quantum correlations in comprehending the model's behavior and provides insight into the complex nature of quantum systems.