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The Ising model with three atoms per site of the Bethe Lattice: Triatomic molecule

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  • Albayrak, Erhan

Abstract

Assumed that each site of the Bethe lattice (BL) is accompanied by three spin-1/2 atoms, then each site is allowed to interact with its nearest-neighbor (NN) sites of three, i.e., the coordination number of the BL. The exact recursion relations (ERR) are employed in obtaining the order parameters of the model. The three spins at each site interact via the intra-bilinear interaction parameter, while the NN spins interact with the inter-bilinear interaction parameter. They are either assumed to be positive (J>0) or negative (J<0), leading to the ferromagnetic (F) or antiferromagnetic (AF) interactions, respectively. The competition between them leads to the random orientation of spins, i.e., random phase. The model also presents first-, second-, and random-phase transitions. The effect of external magnetic fields on the order parameters is also studied.

Suggested Citation

  • Albayrak, Erhan, 2025. "The Ising model with three atoms per site of the Bethe Lattice: Triatomic molecule," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001055
    DOI: 10.1016/j.chaos.2025.116092
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