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Quantum Phase Transition and Quantum Correlation in the Two-dimensional Honeycomb-bilayer Lattice Antiferromagnet

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Abstract

Quantum correlation in the spin-1/2 two-dimensional honeycomb-bilayer lattice antiferromagnet and spin-1 honeycomb-bilayer two-dimensional XY model is studied. For the spin-1 XY model, the calculations were performed taking into account the next-nearest neighbor interactions \(J_2\) and the single-ion anisotropy term D in the easy-axis regime (large D) using the Schwinger boson approach. For the two-dimensional antiferromagnetic model at \(D=0\), we use linear spin waves and Schwinger bosons. For the phase large D (\(D>D_c\)), we investigate the effect of the behavior of the critical line of the graphic \(D_{c}\) versus \(J_{\perp c}/J_1\) and \(J_{2 c}/J_1\) on quantum correlation, where the system suffers a quantum phase transition Néel-paramagnetic

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Acknowledgements

This work was partially supported by National Council for Scientific and Technological Development (CNPq).

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  1. Department of Physics, Federal Education Center Technological of Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil

    L. S. Lima

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Lima, L.S. Quantum Phase Transition and Quantum Correlation in the Two-dimensional Honeycomb-bilayer Lattice Antiferromagnet. J Low Temp Phys 205, 112–125 (2021). https://doi.org/10.1007/s10909-021-02610-x

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