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Mixed Spin-1/2 and Spin-3/2 Blume-Capel Ising Ferromagnetic System in a Longitudinal Magnetic Field

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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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References

  1. 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

    Article  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. 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

    Article  Google Scholar 

  4. 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

    Google Scholar 

  5. 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

    Google Scholar 

  6. 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

    Google Scholar 

  7. 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

    Google Scholar 

  8. 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

    Article  ADS  Google Scholar 

  9. 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

    Article  ADS  Google Scholar 

  10. 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

    Article  ADS  MathSciNet  Google Scholar 

  11. 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

    MATH  Google Scholar 

  12. 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

    Article  ADS  MathSciNet  Google Scholar 

  13. 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

    Article  ADS  MathSciNet  Google Scholar 

  14. 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

    Article  ADS  MATH  Google Scholar 

  15. 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

    Google Scholar 

  16. 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

    Article  ADS  Google Scholar 

  17. 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

    ADS  MathSciNet  Google Scholar 

  18. 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

    Article  ADS  Google Scholar 

  19. 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

    Article  ADS  Google Scholar 

  20. 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

    Article  ADS  MATH  Google Scholar 

  21. 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

    Google Scholar 

  22. 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

    Article  Google Scholar 

  23. Baxter, R.J.: Exactly Solved Models in Statistical Mechanics. Academic Press Inc., London (1982). https://doi.org/10.1142/9789814415255_0002

    MATH  Google Scholar 

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Funding

This work is supported by the National Natural Science Foundation of China under Grant No. 11675090.

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Correspondence to Hui Yin.

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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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