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Thermodynamic properties of high-dimensional Heisenberg ferromagnets with an arbitrary spin-S

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  • Mi, Bin-Zhou
  • Wang, Huai-Yu

Abstract

This study extends the Heisenberg ferromagnetic model to high-dimensional simple hypercubic lattice systems by using the double-time Green’s function method. Analytical derivation and numerical calculation were performed on the lattice structural factor, Curie temperature, and spontaneous magnetization. It is found that the spontaneous magnetization of d-dimensional (d≥3) Heisenberg ferromagnet with an arbitrary spin-S obeys the Td/2 law at very low temperatures. This indicates that the low-temperature magnetization characteristics are closely related to the spatial dimension. The lattice structural factor is evaluated for d=3 to 15. It is interesting to note that when the spatial dimension d is very large, the Curie temperature is nearly proportional to the d at any fixed spin-S, which means that the Curie temperature increases with the d with no upper limit. In addition, it is observed that the larger the spin-S, the closer the normalized spontaneous magnetization versus the normalized temperature curves for different spatial dimension d.

Suggested Citation

  • Mi, Bin-Zhou & Wang, Huai-Yu, 2025. "Thermodynamic properties of high-dimensional Heisenberg ferromagnets with an arbitrary spin-S," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003826
    DOI: 10.1016/j.physa.2025.130730
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