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

Ai Min Chen (), Yao Heng Su, Cai-Juan Xia and Sam Young Cho
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Ai Min Chen: Xi’an Jiaotong 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

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 10, 1-10

Abstract: 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.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70230-4

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