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

Erhan Albayrak

Chaos, Solitons & Fractals, 2025, vol. 193, issue C

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.

Keywords: Triatomic molecule; Spin; Ising model; Bethe lattice; Recursion relations; Phase diagram (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925001055
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001055

DOI: 10.1016/j.chaos.2025.116092

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().