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An Ising spin-S model on generalized recursive lattice

Author

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  • Ananikian, N.S.
  • Izmailian, N.Sh.
  • Oganessyan, K.A.

Abstract

The Ising spin-S model on recursive p-polygonal structures in the external magnetic field is considered and the general form of the free energy and magnetization for arbitrary spin is derived. The exact relation between the free energies on infinite entire tree and on its infinite “interior” is obtained.

Suggested Citation

  • Ananikian, N.S. & Izmailian, N.Sh. & Oganessyan, K.A., 1998. "An Ising spin-S model on generalized recursive lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 207-214.
    • Handle: RePEc:eee:phsmap:v:254:y:1998:i:1:p:207-214
    DOI: 10.1016/S0378-4371(98)00013-2
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    Cited by:

    1. Jurčišinová, E. & Jurčišin, M., 2016. "Spin-1 Ising model on tetrahedron recursive lattices: Exact results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 554-568.
    2. Jurčišinová, E. & Jurčišin, M., 2019. "Relevance of recursive lattice approximations for description of frustrated magnetic systems: Star kagome-like recursive lattice approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 330-351.
    3. Jurčišinová, E. & Jurčišin, M., 2014. "The first order phase transitions in the multisite spin-1/2 model on a pure Husimi lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 375-385.
    4. Jurčišinová, E. & Jurčišin, M., 2019. "Applicability of effective field theory cluster approximations for investigation of geometrically frustrated magnetic systems: Antiferromagnetic model on kagome lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 644-657.
    5. Jurčišinová, E. & Jurčišin, M., 2017. "Evidence for the ferromagnetic frustration in a classical spin-1∕2 system with multisite interaction in external magnetic field: Exact results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 296-317.

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