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Influence of Topological Phase Transition on Entanglement in the Spin-1 Antiferromagnetic XX Model in Two Dimensions

Abstract

In this paper, we study the von Neumann entanglement entropy as a measure of the quantum entanglement in the spin-1 two-dimensional XX model with single-ion anisotropy. We use the bond operator formalism and consider the range of large anisotropy D and in the neighborhood of the critical point \(D_\mathrm{c}\) . One discusses the influence of the Berezinskii–Kosterlitz–Thouless phase transition (BKT) that occurs at critical anisotropy point \(D_\mathrm{c}\), or the transition of the topological order of vortices and disordered phase on quantum entanglement.

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Acknowledgements

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

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Correspondence to L. S. Lima.

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Lima, L.S. Influence of Topological Phase Transition on Entanglement in the Spin-1 Antiferromagnetic XX Model in Two Dimensions. J Low Temp Phys 201, 515–525 (2020). https://doi.org/10.1007/s10909-020-02512-4

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Keywords

  • Entanglement
  • BKT transition
  • XX model