Ferromagnetic diatomic molecules with mixed spin-1/2 and spin-1
DOI:
https://doi.org/10.5488/CMP.29.33701Keywords:
diatomic molecule, mixed-spin, Bethe lattice, recursion relations, phase diagramAbstract
Diatomic molecules consisting of one spin-1/2 (σ) and one spin-1 (S) atom 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 t te 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.
References
Mendes R. G. B., Sa Barreto F. C., Santos J. P., Physica A, 2018, 505, 1186. DOI: https://doi.org/10.1016/j.physa.2018.03.094
Albayrak E., Chin. Phys. Lett., 2018, 35, 037501. DOI: https://doi.org/10.1088/0256-307X/35/3/037501
Benayad N., Dakhama A., J. Magn. Magn. Mater., 1997, 168, 105. DOI: https://doi.org/10.1016/S0304-8853(96)00682-8
Benayad N., Dakhama A., Phys. Rev. B, 1997, 55, 12276. DOI: https://doi.org/10.1103/PhysRevB.55.12276
Sarmento E. F., Cressoni J. C., dos Santos R. J. V., J. App. Phys., 1994, 75, 5820. DOI: https://doi.org/10.1063/1.355579
Benyoussef A., El Kenz A., Kaneyoshi T., J. Magn. Magn. Mater., 1994, 131, 173. DOI: https://doi.org/10.1016/0304-8853(94)90025-6
Benyoussef A., El Kenz A., Kaneyoshi T., J. Magn. Magn. Mater., 1994, 131, 179. DOI: https://doi.org/10.1016/0304-8853(94)90026-4
Kaneyoshi T., Phys. Stat. Solidi B, 1995, 189, 219. DOI: https://doi.org/10.1002/pssb.2221890125
Bobak A., Jurcisin M., Physica A, 1997, 240, 647. DOI: https://doi.org/10.1016/S0378-4371(97)00044-7
de Lima A. L., Stosic B. D., Fittipaldi I. P., J. Magn. Magn. Mater., 2001, 226–230, 635. DOI: https://doi.org/10.1016/S0304-8853(00)01116-1
Belmamoun Y., Kerouad M., Phys. Scripta, 2008, 77, 025706. DOI: https://doi.org/10.1088/0031-8949/77/02/025706
Xin Z. H., Wei G. Z., Liu T. S., J. Magn. Magn. Mater., 1997, 176, 206. DOI: https://doi.org/10.1016/S0304-8853(97)00544-1
Xin Z. H., Wei G. Z., Liu T. S., Physica A, 1998, 248, 442. DOI: https://doi.org/10.1016/S0378-4371(97)00534-7
Xin Z. H., Wei G. Z., Liu T. S., Phys. Stat. Solidi B, 1998, 210, 229. DOI: https://doi.org/10.1002/(SICI)1521-3951(199811)210:1<229::AID-PSSB229>3.0.CO;2-R
Zukovic M., Bobak A., Physica A, 2015, 436, 509. DOI: https://doi.org/10.1016/j.physa.2015.05.077
Zaim A., Kerouad M., Belmamoun Y., Physica B, 2009, 404, 2280. DOI: https://doi.org/10.1016/j.physb.2009.04.028
Fouejio D., Noupa C., Physica B, 2002, 626, 413489. DOI: https://doi.org/10.1016/j.physb.2021.413489
Obeidat A. A., Hassan M. K., Badarneh M. H., IEEE Trans. Magn., 2019, 55, 1000305. DOI: https://doi.org/10.1109/TMAG.2019.2917369
Quadros S. G. A., Salinas S. R., Physica A, 1994, 206, 479. DOI: https://doi.org/10.1016/0378-4371(94)90319-0
Boechat B., Filgueiras R., Mod. Phys. Lett. B, 2000, 14, 749. DOI: https://doi.org/10.1142/S0217984900000938
Boechat B., Filgueiras R., Cordeiro C., Branco N. S., Physica A, 2002, 304, 429. DOI: https://doi.org/10.1016/S0378-4371(01)00560-X
Bobak A., Pokorny V., Dely J., Physica A, 2009, 388, 2157. DOI: https://doi.org/10.1016/j.physa.2009.02.017
Bobak A., Dely J., Zukovic M., Physica A, 2011, 390, 1953. DOI: https://doi.org/10.1016/j.physa.2011.02.028
Ertas M., Keskin M., Physica B, 2015, 470-471, 76. DOI: https://doi.org/10.1016/j.ando.2015.07.570
Li J., Wei G. Z., Du A., Int. J. Mod. Phys. B, 2004, 18, 1637. DOI: https://doi.org/10.1142/S0217979204024963
Tucker J. W., J. Magn. Magn. Mater., 1999, 195, 733. DOI: https://doi.org/10.1016/S0304-8853(99)00302-9
Jaščur M., Lacková S., J. Phys.: Condens. Matter, 2000, 12, L583. DOI: https://doi.org/10.1088/0953-8984/12/36/102
Hu A.-Y., Zhang A.-J., J. Magn. Magn. Mater., 2016, 399, 22.
Boubekri A., El Hafidi M., Int. J. Theor. Phys., 2020, 59, 3408. DOI: https://doi.org/10.1007/s10773-020-04597-9
Lisnyi B., Strecka J., Physica A, 2016, 462, 104. DOI: https://doi.org/10.1016/j.physa.2016.06.088
Zad H. A., Ananikian N., J. Phys.: Condens. Matter, 2018, 30, 165403. DOI: https://doi.org/10.1088/1361-648X/aab644
Albayrak E., Solid State Commun., 2013, 159, 76. DOI: https://doi.org/10.1016/j.ssc.2013.01.030
Albayrak E., Physica A, 2020, 559, 125079. DOI: https://doi.org/10.1016/j.physa.2020.125079
Gray H., Electrons and Chemical Bonding, Benjamin, 1964.
Drillon M., Coronado E., Beltran D., Georges R., J. Chem. Phys., 1983, 79, 449. DOI: https://doi.org/10.1016/0301-0104(83)85267-7
Albayrak E., J. Magn. Magn. Mater., 2025, 617, 172817. DOI: https://doi.org/10.1016/j.jmmm.2025.172817
Albayrak E., Keskin M., J. Magn. Magn. Mater., 2003, 261, 196. DOI: https://doi.org/10.1016/S0304-8853(02)01473-7
Albayrak E., Eur. Phys. J. Plus, 2024, 139, 34. DOI: https://doi.org/10.1140/epjp/s13360-023-04821-5
Albayrak E., Chin. J. Phys., 2024, 89, 1545. DOI: https://doi.org/10.1016/j.cjph.2024.04.020
Albayrak E., J. Supercond. Novel Magn., 2025, 38, 187. DOI: https://doi.org/10.1007/s10948-025-07098-0
Albayrak E., Spin, 2024, 14, 2450014. DOI: https://doi.org/10.1142/S2010324724500140
Albayrak E., Chaos Solitons and Fract., 2025, 193, 116092. DOI: https://doi.org/10.1016/j.chaos.2025.116092
Baxter R. J., Exactly Solved Models in Statistical Mechanics, Academic Press, 1982.
Albayrak E., Keskin M., J. Magn. Magn. Mater., 2000, 218, 121. DOI: https://doi.org/10.1016/S0304-8853(00)00366-8
Downloads
Published
License
Copyright (c) 2026 E. Albayrak
This work is licensed under a Creative Commons Attribution 4.0 International License.
