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Nonlocal string orders and entanglement spectrum in the spin-1/2 alternating Heisenberg-Ising chain

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Abstract

By the infinite time-evolving block decimation (iTEBD) technique, the quantum phase transitions (QPTs) and the ground-state properties of a spin-1/2 alternating Heisenberg-Ising chain are investigated. As the Ising coupling is generalized into the ferromagnetic case (J I < 0), in addition to two well-known phases (the antiferromagnetic phase and the disordered dimer phase), an antiferromagnetic stripe phase is induced. Two QPTs at J I = ±2 can be described by the singular behavior of the bipartite entanglement entropy and the ground-state energy, and both are verified to be second-order transitions. Nonzero string orders (O s σ, σ = x, y, and z) and doubly degenerate entanglement spectra are observed in the disordered dimer phase, and these characters distinguish the disordered phase from other two phases. Especially, the string order introduced firstly to describe the Haldane phase of spin-1 chain is generalized to the spin-1/2 alternating Heisenberg-Ising chain.

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Authors and Affiliations

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

    Guang-Hua Liu

  2. Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, College of Physical Sciences, University of Chinese Academy of Sciences, P.O. Box 4588, Beijing, 100049, P.R. China

    Wei Li & Gang Su

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

    Guang-Shan Tian

Authors
  1. Guang-Hua Liu
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  2. Wei Li
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  3. Gang Su
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  4. Guang-Shan Tian
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Correspondence to Guang-Hua Liu.

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Liu, GH., Li, W., Su, G. et al. Nonlocal string orders and entanglement spectrum in the spin-1/2 alternating Heisenberg-Ising chain. Eur. Phys. J. B 87, 105 (2014). https://doi.org/10.1140/epjb/e2014-50150-1

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