Abstract
By means of the recursion relations method, the exact formulations of magnetizations for a mixed spin-1/2 and spin-3/2 Blume-Capel Ising ferromagnetic model on Bethe lattice in a longitudinal magnetic field are presented. The exact expressions for sublattice magnetizations and average magnetization per site are obtained, respectively, and the temperature dependence of the magnetizations for the Bethe lattice with coordination number 4 is numerically studied. The effects of the longitudinal field and crystal-field interaction on the magnetizations are also studied. It is found that the sublattice magnetizations and average one have two different saturation values in the case of low temperature, and decrease from three different saturation values to the same constant as D/J decreases in the case of high temperature.
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Štubňa, V., Jaščur, M.: Mixed spin-1/2 and 3/2 Ising model with multi-spin interactions on a decorated square lattice. J. Magn. Magn. Mater. 364, 442 (2017). https://doi.org/10.1016/j.jmmm.2017.07.011
Brataas, A., van Wees, B., Klein, O., de Loubens, G., Viret, M.: Spin insulatronics. Phys. Rep. 1, 885 (2020). https://doi.org/10.1016/j.physrep.2020.08.006
Drillon, M., Coronado, E., Beltran, D., Georges, R.: Classical treatment of a Heisenberg linear chain with spin alternation; Application to the MnNi(Edta)-6H2O complex. J. Chem. Phys. 79, 449 (1983). https://doi.org/10.1016/0301-0104(83)85267-7
Wang, S.K., Tian, H.Y., Yang, Y.H., Wang, J.: Spin and valley half metal induced by staggered potential and magnetization in silicene. Chin. Phys. B 017203, 23 (2014). https://doi.org/10.1088/1674-1056/23/1/017203
Wang, S.K., Zhang, P.Z., Ren, C.D., Tian, H.U., Pang, J., Song, C., Sun, M.L.: Valley Hall effect and magnetic moment in magnetized silicene. J. Supercond. Nov. Magn. 2947, 32 (2019). https://doi.org/10.1007/s10948-019-5055-y
Ovchinnikov, S.G., Borisov, A., Gavrichkov, V.A.: Korshunov m.m: Prediction of the in-gap states above the top of the valence band in undoped insulating cuprates due to the spin-polaron effect. J. Phys.: Condens. Matter L93, 16 (2004). https://doi.org/10.1088/0953-8984/16/8/L04
Ekiz, C.: Mixed spin-1/2 and spin-3/2 Ising system in a longitudinal magnetic field. J. Magn. Magn. Mater. 913, 293 (2005). https://doi.org/10.1016/j.jmmm.2004.12.012
Yousif, B.Y., Bowers, R.: G.:high-temperature series expansion studies of mixed spin-1/2-spin-S Ising models. J. Phys. A: Math. Gen. 17, 3389 (1984). https://doi.org/10.1088/0305-4470/17/17/016
Tang, K.F.: Critical couplings of mixed spin-1/2-spin-S Ising model: a free-fermion approximation. J. Phys. A: Math. Gen. 21, L1097 (1988). https://doi.org/10.1088/0305-4470/21/22/010
Sabri, S., Falaki, M.E.L., Yadari, M.E.L., Benyoussef, A., Kenza, A.: EL: Phase Transitions of Ising mixed spin 1 and 3/2 with random crystal field distribution. Physica A 460, 210 (2016). https://doi.org/10.1016/j.physa.2016.04.012
Souza, I.J., de Arruda, P.H.Z., Godoy, M., Craco, L., de Arruda, A.S.: Random crystal-field effects in a mixed spin-1 and spin-3/2 ferrimagnetic Ising system. Physica A 589, 444 (2016). https://doi.org/10.1016/j.physa.2015.10.089
Yigit, A., Albayrak, E.: Mixed spin-1/2 and spin-3/2 Ising model with random crystal field distribution. Physica A 392, 4216 (2013). https://doi.org/10.1016/j.physa.2013.05.035
Benayad, N., Zittartz, J.: Real-space renormalization group investigation of the three-dimensional semi-infinite mixed spin Ising model. Z. Phys. B: Condensed Matter 81, 107 (1990). https://doi.org/10.1007/BF01454221
Boechat, B., Filgueiras, R.A., Cordeiro, C., Branco, N.S.: Renormalization-group magnetization of a ferrimagnetic Ising system. Physica A 304, 429 (2002). https://doi.org/10.1016/S0378-4371(01)00560-X
Benhouria, Y., Essaoudi, I., Ainane, A., Ahuja, R., Dujardin, F.: Hysteresis loops and dielectric properties of a mixed spin Blume–Capel Ising ferroelectric nanowire. Physica A 499, 506 (2018). https://doi.org/10.1016/j.physa.2018.04.080
Albayrak, E.: Mixed spin-1 and spin-3/2 Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Int. J. Mod. Phys. B 17, 1087 (2003). https://doi.org/10.1142/S0217979203015978
Albayrak, E.: Alci a: Mixed spin-1/2and spin-3/2 Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Physica A 345, 48 (2005). https://doi.org/10.1016/j.physa.2004.04.134
Ekiz, C., Keskin, M.: Magnetic properties of the mixed spin-1/2 and spin-1 Ising ferromagnetic system. Physica A 317, 517 (2003). https://doi.org/10.1016/S0378-4371(02)01356-0
Zhang, X., Kong, X.M.: Ferromagnetism in the mixed spin-1/2 and spin-3/2 Blume–Capel system on the two-fold Cayley tree. Physica A 369, 589 (2006). https://doi.org/10.1016/j.physa.2006.02.014
Jiang, W., Wei, G.Z., Xin, Z.H.: Magnetic properties of a mixed spin-1/2 and spin-3/2 transverse Ising model with a crystal field. Physica A 293, 455 (2001). https://doi.org/10.1016/S0378-4371(01)00008-5
Wei, G.Z., Liang, Y.Q., Zhang, Q., Xin, Z.H.: Magnetic properties of mixed-spin Ising systems in a longitudinal magnetic field. J. Magn. Magn. Mater. 246, 271 (2004). https://doi.org/10.1016/j.jmmm.2003.09.043
Zhang, X.: Mixed spin Ising ferromagnetic system in a longitudinal magnetic field on Bethe lattice. Journal of Langfang Teachers College 9, 44 (2009). https://doi.org/10.3969/j.issn.1674-3229-B.2009.05.015
Baxter, R.J.: Exactly Solved Models in Statistical Mechanics. Academic Press Inc., London (1982). https://doi.org/10.1142/9789814415255_0002
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This work is supported by the National Natural Science Foundation of China under Grant No. 11675090.
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Qin, W., Yin, H., Zhang, P. et al. Mixed Spin-1/2 and Spin-3/2 Blume-Capel Ising Ferromagnetic System in a Longitudinal Magnetic Field. J Supercond Nov Magn 34, 963–969 (2021). https://doi.org/10.1007/s10948-020-05799-2
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DOI: https://doi.org/10.1007/s10948-020-05799-2