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Superstable cycles and magnetization plateaus for antiferromagnetic spin-1 Ising and Ising–Heisenberg models on diamond chains

Author

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  • Ananikian, N.
  • Artuso, R.
  • Poghosyan, H.

Abstract

We consider the appearance of superstable cycles in the dynamical approach to the antiferromagnetic and ferromagnetic spin-1 Ising and Ising–Heisenberg models on diamond chains, and their connection with magnetization plateaus. The rational mappings, which provide the statistical properties of the model, are derived by using recurrence relations technique. We consider stability properties of the mapping, providing evidences of a connection between magnetization plateaus and dynamical properties, as the behavior of Lyapunov exponents. The newfound correspondence between superstable point and zero magnetic plateau in spin-1 models on a diamond chain has been tested for a range of parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:892-904
    DOI: 10.1016/j.physa.2018.03.023
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    References listed on IDEAS

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    1. Ananikian, N. & Hovhannisyan, V., 2013. "Magnetic properties, Lyapunov exponent and superstability of the spin-12 Ising–Heisenberg model on a diamond chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2375-2383.
    2. 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.
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