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PreprintCC BY 4.0arXiv

Ferromagnetic diatomic molecules with mixed spin-1/2 and spin-1

Abstract

Diatomic molecules consisting of one spin-1/2 (σ) and one spin-1 (S) atoms are put at each site of the Bethe lattice (BL) of the coordination number q=3, 4, or 6. Alongside the ferromagnetic (FM) interactions of individual atoms within a molecule, the molecules are permitted to engage in ferromagnetic interactions with their nearest neighbors (NN) through diverse bilinear interaction parameters J. The spin-1 sites are also under the influence of crystal field D. The phase diagrams on the ($D, T$) planes for a given q are obtained by investigating the thermal variations of magnetizations for the case with zero external magnetic field (H). It is discovered that the phase diagrams rely on q both qualitatively and quantitatively. The crystal field is also included which operates only on the spin-1 sites. Three separate FM phases are observed with (σ,S) being $(1/2,1), (1/2,0)$ at the ground state level and a phase region with small magnetization (SM) values at a higher temperature range. In addition to the reentrant behavior in the transition zone from one phase to the other, the model produces first- and second-order phase transitions. Additionally, the impact of H on the magnetization curves is examined, yielding quite intriguing findings.

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BibTeX
@misc{albayrak2026ferromagnetic,
  title = {{Ferromagnetic diatomic molecules with mixed spin-1/2 and spin-1}},
  author = {E. Albayrak},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23632},
  eprint = {2609.23632},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23632},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ferromagnetic diatomic molecules with mixed spin-1/2 and spin-1
AU  - E. Albayrak
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.23632
UR  - https://arxiv.org/abs/2609.23632
AB  - Diatomic molecules consisting of one spin-1/2 (σ) and one spin-1 (S) atoms are put at each site of the Bethe lattice (BL) of the coordination number q=3, 4, or 6. Alongside the ferromagnetic (FM) interactions of individual atoms within a molecule, the molecules are permitted to engage in ferromagnetic interactions with their nearest neighbors (NN) through diverse bilinear interaction parameters J. The spin-1 sites are also under the influence of crystal field D. The phase diagrams on the ($D, T$) planes for a given q are obtained by investigating the thermal variations of magnetizations for the case with zero external magnetic field (H). It is discovered that the phase diagrams rely on q both qualitatively and quantitatively. The crystal field is also included which operates only on the spin-1 sites. Three separate FM phases are observed with (σ,S) being $(1/2,1), (1/2,0)$ at the ground state level and a phase region with small magnetization (SM) values at a higher temperature range. In addition to the reentrant behavior in the transition zone from one phase to the other, the model produces first- and second-order phase transitions. Additionally, the impact of H on the magnetization curves is examined, yielding quite intriguing findings.
ER  -