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Magnetic Properties of a Bi-Layer Borophene Structure with Mixed Spins: Monte Carlo Study

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Abstract

Our aim of this work is to study the magnetic properties of a bi-layer borophene structure, using Monte Carlo simulations under the Metropolis algorithm. Such a system is formed by two layers. The first one contains 126 atoms with spin σ =  ± 3/2, ± 1/2 and 84 atoms with spins S =  ± 1, 0 while the second one contains 84 atoms with spin σ =  ± 3/2, ± 1/2 and 126 atoms with spins S =  ± 1, 0. We establish, in various planes, the ground-state phase diagrams. Furthermore, we present the thermal variation of the total magnetization and total susceptibility for several values of exchange coupling interactions and crystal field. It is found that the increase in both exchange coupling interactions leads to an almost linear increase in transition temperature in one hand and, on the other hand, to a decrease in the corresponding crystal field transition.

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References

  1. N. Maaouni, M. Qajjour, A. Mhirech, B. Kabouchi, L. Bahmad, W. Ousi Benomar, J. Magn. Magn. Mater. 468, 175–180 (2018)

    ADS  Google Scholar 

  2. S. Naskar, A.K. Chakraborty, J. Persp. Sci. 8, 273–275 (2016)

    Google Scholar 

  3. J. Liu, H. Chen, B. Guan, K. Liu, J. Wen, Z. Sun, J. Constr. Build. Mater. 190, 287–293 (2018)

    Google Scholar 

  4. K. Ramam, B.S. Diwakar, K. Varaprasad, V. Swaminadham, V. Reddy, J. Magn. Magn. Mater. 442, 453–459 (2017)

    ADS  Google Scholar 

  5. R.E. Christiansen, J. Vester-Petersen, S.P. Madsen, O. Sigmund, J. Comput. Methods Appl. Mech. Eng. 343, 23–39 (2019)

    ADS  Google Scholar 

  6. W. Liu, P.K.J. Wong, Y. Xu, J. Prog. Mater. Sci. 99, 27–105 (2019)

    Google Scholar 

  7. W. Jiang, Y.N. Wang, A.-B. Guo, Y.Y. Yang, K.-L. Shi, Carbon 110, 41–47 (2016)

    Google Scholar 

  8. S. Aouini, S. Ziti, H. Labrim, L. Bahmad, Solid State Commun. 267, 57–62 (2017)

    ADS  Google Scholar 

  9. W. Ming, Z. Zhang, S. Wang, Y. Zhang, F. Shen, G. Zhang, J. Clean. Prod. 214, 12–28 (2019)

    Google Scholar 

  10. N. Zhang, W. Liu, D. Deng, Z. Tang, X. Liu, Z. Yan, H. Zhang, J. Opt. Laser Tech. 108, 247–254 (2018)

    ADS  Google Scholar 

  11. A. Mhirech, S. Aouini, A. Alaoui-Ismaili, L. Bahmad, J. Low. Temp. Phys. 117, 382–391 (2018)

    Google Scholar 

  12. T. Sahdane, A. Mhirech, L. Bahmad, B. Kabouchi, J. Supercond. Nov. Magn. 31, 1089–1093 (2018)

    Google Scholar 

  13. R. Masrour, A. Jabar, Phys. Lett. A 491, 843–851 (2018)

    Google Scholar 

  14. E. Jurčišinová, M. Jurčišin, J. Phys. A 514, 644–657 (2019)

    Google Scholar 

  15. J.P. Santos, F.C. Sá Barreto, J. Magn. Magn. Mater. 439, 114–119 (2017)

    ADS  Google Scholar 

  16. M.B. Einhorn, J. Wudka, Nuc. Phys. B 876, 556–574 (2013)

    ADS  Google Scholar 

  17. R.K. Qiu, F.F. Guo, Z.D. Zhang, J. Magn. Magn. Mater. 399, 228–235 (2016)

    ADS  Google Scholar 

  18. N.G. Diamantis, E. Manousakis, J. Phys. Proc. 68, 85–89 (2015)

    Google Scholar 

  19. M.I. Bin-Zhou, Phys. B 497, 23–30 (2016)

    ADS  Google Scholar 

  20. G. Mert, Phys. A 404, 217–223 (2014)

    MathSciNet  Google Scholar 

  21. V.S. Leite, W. Figueiredo, Phys. A 350, 379–392 (2005)

    Google Scholar 

  22. T. Kaneyoshi, J. Magn. Magn. Mater. 321, 3430–3435 (2009)

    ADS  Google Scholar 

  23. H. Magoussi, A. Zaim, M. Kerouad, J. Super. Micro. 89, 188–203 (2016)

    Google Scholar 

  24. R.G.B. Mendes, F.C. Sá Barreto, J.P. Santos, J. Magn. Magn. Mater. 471, 365–369 (2019)

    ADS  Google Scholar 

  25. E. Albayrak, Chin. J. Phys. 5, 2291–2296 (2018)

    Google Scholar 

  26. A. Oubelkacem, Y. Benhouria, I. Essaoudi, A. Ainane, R. Ahuja, Cond. Mater. 549, 82–86 (2018)

    Google Scholar 

  27. M. Mouhib, N. Benayad, M. Azhari, J. Magn. Magn. Mater. 419, 325–337 (2016)

    ADS  Google Scholar 

  28. S.S. Ahmed, L. Bahmad, A. El Yousfi, A. Benyoussef, A.G. El Hachimi, J. Sup. Micro. 123, 1–11 (2018)

    Google Scholar 

  29. W. Wang, D. Lv, Y. Liu, Y. Yang, X. Zhao, J. Sup. Micro. 112, 688–696 (2017)

    Google Scholar 

  30. J.R.V. Pereira, T.M. Tunes, A.S. de Arruda, M. Godoy, J. Phys. A 500, 265–272 (2018)

    Google Scholar 

  31. B. Deviren, Y. Şener, J. Magn. Magn. Mater. 386, 12–19 (2015)

    ADS  Google Scholar 

  32. I.J.L. Diaz, N.S. Branco, Phys. Lett. A 468, 158–170 (2017)

    Google Scholar 

  33. I.J.L. Diaz, N.S. Branco, Phys. Lett. A 490, 904–917 (2018)

    Google Scholar 

  34. R. Masrour, A. Jabar, A. Benyoussef, M. Hamedoun, Phys. Lett. A 491, 1028–1039 (2018)

    Google Scholar 

  35. N. Tahiri, A. Jabar, L. Bahmad, J. Phys. Lett. A 381, 189–193 (2017)

    Google Scholar 

  36. C.L. Zou, D.Q. Guo, F. Zhang, J. Meng, H.L. Miao, W. Jiang, Phys. E 104, 138–145 (2018)

    Google Scholar 

  37. Z.A. Piazza, Hu. Han-Shi, W.-L. Li, Y.-F. Zhao, J. Li, L.-S. Wang, Nat. Commun. 5, 3113–3119 (2014)

    ADS  Google Scholar 

  38. H.R. Jiang, Z. Lu, M.C. Wu, F. Ciucci, T.S. Zhao, Nano Energy 23, 97–104 (2016)

    Google Scholar 

  39. B. Feng, J. Zhang, Q. Zhong, W. Li, S. Li, H. Li, P. Cheng, S. Meng, L. Chen, K. Wu, Nat. Chem. 8, 563–568 (2016)

    Google Scholar 

  40. A.J. Mannix, X.F. Zhou, B. Kiraly, J.D. Wood, D. Alducin, B.D. Myers, L. Xiaolong, Science 350, 1513–1516 (2015)

    ADS  Google Scholar 

  41. W. Li, L. Kong, C. Chen, J. Gou, S. Sheng, W. Zhang, H. Li, L. Chen, P. Cheng, K. Wu, Sci. Bull. 63, 282–286 (2018)

    Google Scholar 

  42. R. Bhuvaneswari, R. Chandiramouli, Chem. Phys. Lett. 701, 34–42 (2018)

    ADS  Google Scholar 

  43. Z. Zhang, Y. Yang, E.S. Penev, B.I. Yakobson, Adv. Funct. Mater. 27, 1605059 (2017)

    Google Scholar 

  44. P. Mathé, E. Novak, J. Compl. 23, 673–696 (2007)

    Google Scholar 

  45. M. Qajjour, N. Maaouni, Z. Fadil, A. Mhirech, B. Kabouchi, W. Ousi Benomar, L. Bahmad, Chin. J. Phys. 63, 36 (2020)

    Google Scholar 

  46. Z. Fadil, M. Qajjour, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, J. Magn. Magn. Mater. 491, 165559 (2019)

    Google Scholar 

  47. Z. Fadil, M. Qajjour, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, Phys. B Condens. Matter 564, 104–113 (2019)

    ADS  Google Scholar 

  48. X.S. Wang, F. Zhang, N. Si, J. Meng, Y.L. Zhang, W. Jiang, Phys. A Stat. Mech. Appl. 527, 121356 (2019)

    Google Scholar 

  49. Z. Fadil, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, Superlatt. Microstruct. 135, 106285 (2019)

    Google Scholar 

  50. K.L. Shi, W. Jiang, Phys. E 101, 94–102 (2018)

    Google Scholar 

  51. Z. Fadil, M. Qajjour, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, Phys. B Condens. Matter 578, 411852 (2020)

    Google Scholar 

  52. Z. Fadil, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, Superlatt. Microstruct. 134, 106224 (2019)

    Google Scholar 

  53. N. Si, F. Zhang, W. Jiang, Y.L. Zhang, Phys. A 510, 641–648 (2018)

    Google Scholar 

  54. Z. Fadil, A. Mhirech, B. Kabouchi, L. Bahmad, W.O. Benomar, Chin. J. Phys. 64, 295–304 (2020)

    Google Scholar 

  55. S.A. Deviren, Solid State Commun. 251, 73–78 (2017)

    ADS  Google Scholar 

  56. S. Chen, D. Haziza, Comput. Stat. Data Anal. 127, 258–268 (2018)

    Google Scholar 

  57. Y. Yang, W. Wang, H. Ma, Q. Li, Z.Y. Gao, T. Huang, Phys. E 108, 358–371 (2019)

    Google Scholar 

  58. K. Shi, W. Jiang, A. Guo, K. Wang, C. Wu, Phys. A 500, 11–22 (2018)

    MathSciNet  Google Scholar 

  59. W. Wang, R. Liu, D. Lv, X. Luo, Superlatt. Micro. 98, 458–472 (2016)

    Google Scholar 

Download references

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Qajjour, M., Fadil, Z., Mhirech, A. et al. Magnetic Properties of a Bi-Layer Borophene Structure with Mixed Spins: Monte Carlo Study. J Low Temp Phys 202, 231–246 (2021). https://doi.org/10.1007/s10909-020-02543-x

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  • DOI: https://doi.org/10.1007/s10909-020-02543-x

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