<p>The Bethe lattice (BL) sites are filled with the diatomic molecules consisting of one spin-1/2 and one spin-3/2 atoms, then they are let to interact with the nearest-neighbor (NN) molecules through bilinear exchange interactions. Additionally, they are affected by both an external field, magnetic field <i>H</i>, and an internal one, the crystal field <i>D</i>. The model is then examined in terms of the exact recursion relations (ERR) by studying the temperature fluctuations in magnetizations associated with each type of spin for various coordination numbers <i>q</i>=3, 4, and 6. The phase diagrams are calculated under ferromagnetic (FM) case on the <i>D</i>-temperature planes with zero <i>H</i>, i.e., spontaneous magnetizations. The effects of <i>H</i> on magnetizations are also displayed. The model displays several critical phenomena which may be new to this model; the existence of the first-order phase transition lines and tricritical points (TCP).</p>

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Ferromagnetic Diatomic Molecules Consisting of Spin-1/2 and Spin-3/2

  • Erhan Albayrak

摘要

The Bethe lattice (BL) sites are filled with the diatomic molecules consisting of one spin-1/2 and one spin-3/2 atoms, then they are let to interact with the nearest-neighbor (NN) molecules through bilinear exchange interactions. Additionally, they are affected by both an external field, magnetic field H, and an internal one, the crystal field D. The model is then examined in terms of the exact recursion relations (ERR) by studying the temperature fluctuations in magnetizations associated with each type of spin for various coordination numbers q=3, 4, and 6. The phase diagrams are calculated under ferromagnetic (FM) case on the D-temperature planes with zero H, i.e., spontaneous magnetizations. The effects of H on magnetizations are also displayed. The model displays several critical phenomena which may be new to this model; the existence of the first-order phase transition lines and tricritical points (TCP).