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Partition function zeros and magnetization plateaus of the spin-1 Ising–Heisenberg diamond chain

Author

Listed:
  • Hovhannisyan, V.V.
  • Ananikian, N.S.
  • Kenna, R.

Abstract

We study the properties of the generalized spin-1 Ising–Heisenberg model on a diamond chain, which can be considered as a theoretical model for the homometallic magnetic complex [Ni3(C4H2O4)2−(μ3−OH)2(H2O)4]n⋅(2H2O)n. The model possesses a large variety of ground-state phases due to the presence of biquadratic and single-ion anisotropy parameters. Magnetization and quadrupole moment plateaus are observed at one- and two-thirds of the saturation value. The distributions of Yang–Lee and Fisher zeros are studied numerically for a variety of values of the model parameters. The usual value σ=−12 alongside an unusual value σ=−23 ​is determined for the Yang–Lee edge singularity exponents.

Suggested Citation

  • Hovhannisyan, V.V. & Ananikian, N.S. & Kenna, R., 2016. "Partition function zeros and magnetization plateaus of the spin-1 Ising–Heisenberg diamond chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 116-130.
    • Handle: RePEc:eee:phsmap:v:453:y:2016:i:c:p:116-130
    DOI: 10.1016/j.physa.2016.02.047
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    Cited by:

    1. Ananikian, N. & Artuso, R. & Poghosyan, H., 2018. "Superstable cycles and magnetization plateaus for antiferromagnetic spin-1 Ising and Ising–Heisenberg models on diamond chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 892-904.
    2. Gnatenko, Kh.P. & Kargol, A. & Tkachuk, V.M., 2018. "Lee–Yang zeros and two-time spin correlation function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1095-1101.

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