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Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field

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Abstract

Entanglement spectrum and quantum phase transitions (QPTs) in S = 1 bond-alternative antiferromagnetic Heisenberg chain with single-ion anisotropy and magnetic field are investigated by the infinite time-evolving block decimation (iTEBD) method. The combined effects of the single-ion anisotropy and magnetic field have been discussed, and a rich ground-state phase diagram is obtained. We find that the single-ion anisotropy is advantageous to the stability of the 1/2 magnetization plateau. Both entanglement entropy and entanglement spectrum, as two model-independent measures, are capable of describing all the QPTs. Especially, doubly degenerate entanglement spectrum on even bond is observed in the 1/2 plateau phase. Besides constant spontaneous magnetization, three magnetization plateaus (M z = 0, 1/2, and 1) are found to have constant entanglement entropy, entanglement spectrum, and nearest-neighbor correlation. In addition, all the QPTs in such a model have been determined to belong to the second-order category.

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Authors and Affiliations

  1. Department of Physics, Tianjin Polytechnic University, Tianjin, 300387, P.R. China

    Guang-Hua Liu

  2. School of Physics, Peking University, Beijing, 100871, P.R. China

    Ling Qiang & Guang-Shan Tian

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  1. Guang-Hua Liu
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  2. Ling Qiang
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  3. Guang-Shan Tian
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Correspondence to Guang-Hua Liu.

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Liu, GH., Qiang, L. & Tian, GS. Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field. Eur. Phys. J. B 86, 321 (2013). https://doi.org/10.1140/epjb/e2013-40268-y

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