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Global geometric entanglement and quantum phase transition in three-leg spin-3/2 Heisenberg tubes

Author

Listed:
  • Ai Min Chen

    (Xi’an Jiaotong University
    School of Science, Xi’an Polytechnic University)

  • Yao Heng Su

    (School of Science, Xi’an Polytechnic University)

  • Cai-Juan Xia

    (School of Science, Xi’an Polytechnic University)

  • Sam Young Cho

    (Centre for Modern Physics and Department of Physics, Chongqing University)

Abstract

Based on the tensor network representations, we have developed an efficient scheme to calculate the global geometric entanglement as a multipartite entanglement measure for the three-leg spin tubes. From the geometric entanglement, the phase diagram of a spin-3 / 2 isosceles triangle spin tube has been investigated varying the base interaction α. Two Berezinsky-Kosterlitz-Thouless phase transitions are estimated to be α c1 ≃ 0.68 and α c2 ≃ 3.85, respectively. Then, even though the spin tube is in gapless spin liquid phases for α α c2, the geometrical structure difference between the groundstate wavefunctions for the two regions is found to reflect the global geometric entanglement that contains bipartite and multipartite contributions. Further, the phase transition points from the von Neumann entropies and fidelity are consistent with that from the geometric entanglement. As a result, the global geometric entanglement can be used to explore a geometrical nature of quantum phases as well as an indicator for quantum phase transitions in many-body lattice systems.

Suggested Citation

  • Ai Min Chen & Yao Heng Su & Cai-Juan Xia & Sam Young Cho, 2016. "Global geometric entanglement and quantum phase transition in three-leg spin-3/2 Heisenberg tubes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(10), pages 1-10, October.
  • Handle: RePEc:spr:eurphb:v:89:y:2016:i:10:d:10.1140_epjb_e2016-70230-4
    DOI: 10.1140/epjb/e2016-70230-4
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    Solid State and Materials;

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