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<p>It is assumed that each Bethe lattice (BL) site is inhabited by a diatomic molecule composed of either two spin-1/2 or two spin-3/2 atoms. Then, each diatomic molecule is assumed to interact with others through its atoms in terms of a variety of bilinear interaction parameters, such as the interaction of atoms within each molecule and between molecules. The thermal variations of magnetizations in the diatomic molecule are investigated by including a crystal field for the spin-3/2 atoms and calculating their magnetic phase diagrams on the BL with the number of nearest-neighbor sites of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7028_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(q=3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>q</mi> <mo>=</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation> by using the exact recursion relations (ERR). The effects of the external magnetic field are also considered while examining the thermal variations in magnetizations. For various ferromagnetic (FM) and antiferromagnetic (AFM) interaction configurations, the model always displays second-order phase transitions when the external magnetic field is set to zero. The first-order phase transitions are observed for nonzero external magnetic fields for appropriate values of our parameters. The obtained results are compared to those of a BL, in which each site is connected to a single atom, and the other possible studies.</p>

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The Simulation of Diatomic Molecules with Mixed Spin-1/2 and Spin-3/2 on the Bethe Lattice

  • 期刊论文

  • 发表日期：

    2025年7月22日

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  • Erhan Albayrak

摘要

It is assumed that each Bethe lattice (BL) site is inhabited by a diatomic molecule composed of either two spin-1/2 or two spin-3/2 atoms. Then, each diatomic molecule is assumed to interact with others through its atoms in terms of a variety of bilinear interaction parameters, such as the interaction of atoms within each molecule and between molecules. The thermal variations of magnetizations in the diatomic molecule are investigated by including a crystal field for the spin-3/2 atoms and calculating their magnetic phase diagrams on the BL with the number of nearest-neighbor sites of \(q=3\) q = 3 by using the exact recursion relations (ERR). The effects of the external magnetic field are also considered while examining the thermal variations in magnetizations. For various ferromagnetic (FM) and antiferromagnetic (AFM) interaction configurations, the model always displays second-order phase transitions when the external magnetic field is set to zero. The first-order phase transitions are observed for nonzero external magnetic fields for appropriate values of our parameters. The obtained results are compared to those of a BL, in which each site is connected to a single atom, and the other possible studies.