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Quantum correlation and entanglement in the Heisenberg model with biquadratic interaction on square lattice

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Abstract

We study the bipartite entanglement as well as the correlation content between two partitions of the quantum 2D Heisenberg model with biquadratic interactions, where the \(\theta \) parameter controls the ratio of the biquadratic and exchange couplings. We also investigate the pairwise entanglement between nearest-neighbor qubits. The calculations were performed for the model on square lattice, in the Néel phase and ferroquadrupolar phase using spin wave theory and Schwinger boson approaches. In the Néel phase that corresponds to range \(-\pi<\theta <0\), we use the Dyson–Maleev representation and SU(2) Schwinger boson representation to calculate the von Neumann entropy as function of the biquadratic coupling \(J_\mathrm{{bq}}\). In the ferroquadrupolar phase, we use the SU(3) Schwinger boson representation which is adequate to treat this phase.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: My data weren’t previously deposited in none platform. However, they can be deposited in the future.]

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Acknowledgements

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

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Authors and Affiliations

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

    L. S. Lima

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  1. L. S. Lima
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Correspondence to L. S. Lima.

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Lima, L.S. Quantum correlation and entanglement in the Heisenberg model with biquadratic interaction on square lattice. Eur. Phys. J. D 75, 28 (2021). https://doi.org/10.1140/epjd/s10053-021-00044-4

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00044-4

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