Global geometric entanglement and quantum phase transition in three-leg spin-3/2 Heisenberg tubes
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- 作者：Ai Min Chen ; Yao Heng Su ; Cai-Juan Xia ; Sam Young Cho
- 关键词：Solid State and Materials
- 刊名：The European Physical Journal B - Condensed Matter
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：89
- 期：10
- 全文大小：550 KB
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Condensed Matter
Physics
Complexity
Fluids
Solid State Physics and Spectroscopy
Superconductivity, Superfluidity and Quantum Fluids - 出版者：Springer Berlin / Heidelberg
- ISSN：1434-6036
- 卷排序：89
文摘
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 αc1 ≃ 0.68 and αc2 ≃ 3.85, respectively. Then, even though the spin tube is in gapless spin liquid phases for α<αc1 and α >αc2, 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.