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Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with Dzyaloshinskii–Moriya interaction

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Abstract

We study the global entanglement and quantum phase transition with the anisotropy parameter and Dzyaloshinskii–Moriya (DM) interaction by methodology of quantum renormalization group within a spin 1/2 XXZ model. It has been shown that the global entanglement can develop two different fixed values, which can exhibit quantum phase transition at the critical point, and DM interaction not only can control the occurrence of the critical point, but also can recover the spoiled three-block entanglement. The behavior of the three-block global entanglement of this large 1D spin 1/2 XXZ model with DM interaction can be revealed in this paper. It turns out that the critical exponent had a relation with the correlation length in the neighborhood of the critical point. Furthermore, the scaling behavior and nonanalytic phenomenon in the spin chains are disclosed.

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Acknowledgments

This work was supported by the National Science Foundation of China under Grant Nos. 61275119, 11575001 and 11247256, the fund of Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139), and also by the Natural Science Research Project of Education Department of Anhui Province of China (Grant No. KJ2013A205).

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Authors and Affiliations

  1. School of Physics and Material Science, Anhui University, Hefei, 230601, China

    Wen-Yang Sun, Jia-Dong Shi, Dong Wang & Liu Ye

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  1. Wen-Yang Sun
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  2. Jia-Dong Shi
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  3. Dong Wang
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  4. Liu Ye
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Correspondence to Liu Ye.

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Sun, WY., Shi, JD., Wang, D. et al. Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with Dzyaloshinskii–Moriya interaction. Quantum Inf Process 15, 245–253 (2016). https://doi.org/10.1007/s11128-015-1159-x

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