Magnetic Properties of a Nano-graphene Monolayer with Higher-Order Exchange Interaction Coupling

  • A. Feraoun
  • M. Kerouad
Original Paper


Using the Monte Carlo simulation, we have studied the phase diagrams and the hysteresis behaviors of a single layer Ising nanographene with next-nearest neighbors coupling J 2 and four-spin interaction J 4 in the presence of a crystal field D and applied magnetic field h. It can emphasize that, for appropriate system parameters, the nanographene can exhibit a new phenomenon manifested in the emergence of an antiferromagnetic phase sandwiched between two ferromagnetic ones. Concerning the hysteresis behavior, the system can present a multiple hysteresis loops.


Monte Carlo simulation Nanographene Phase diagrams Hysteresis behaviors 



This work has been initiated with the support of URAC: 08 and the project PPR: (MESRSFC-CNRST).


  1. 1.
    Yazyev, O.V.: Emergence of magnetism in graphene materials and nanostructures. Rep. Prog. Phys. 73, 056501 (2010)ADSCrossRefGoogle Scholar
  2. 2.
    Ota, N., Gorjizadeh, N., Kawazoe, Y.: Asymmetric graphene model applied to graphite-like carbon-based ferromagnetism. J. Magn. Soc. Jpn. 34(5), 573 (2010)CrossRefGoogle Scholar
  3. 3.
    Ota, N., Gorjizadehn, N., Kawazoe, Y.: Multiple spin state analysis of magnetic nano graphene. J. Magn. Soc. Jpn. 35, 360–365 (2011)CrossRefGoogle Scholar
  4. 4.
    Raji, A.T., Lombardi, E.B.: Stability, magnetic and electronic properties of cobaltvacancy defect pairs in graphene: a first-principles study. Phys. B 464, 28 (2015)ADSCrossRefGoogle Scholar
  5. 5.
    Luo, X.-H., Wang, W., Chen, D.-D., Xu, S.-Y.: Phys. B 491, 51 (2016)ADSCrossRefGoogle Scholar
  6. 6.
    Şarlı, N., Akbudak, S., Ellialtıǧlu, M.R.: Phys. B 452, 18 (2014)ADSCrossRefGoogle Scholar
  7. 7.
    Lebegue, S., Harl, J., Gould, T., Angyan, J.G., Kresse, G., Dobson, J.F.: Phys. Rev. Lett. 105, 196401 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    Birowska, M., Milowska, K., Majewski, J.A.: Acta Phys. Pol. A 120, 845 (2011)CrossRefGoogle Scholar
  9. 9.
    Zhang, F., Jung, J., Fiete, G.A., Niu, Q., MacDonald, A.H.: Phys. Rev. Lett. 106, 156801 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    Milovanovic, M.V., Predin, S.: Phys. Rev. B 86, 195113 (2012)ADSCrossRefGoogle Scholar
  11. 11.
    Orlof, A., Ruseckas, J., Zozoulenko, I.V.: Phys. Rev. B 88, 125409 (2013)ADSCrossRefGoogle Scholar
  12. 12.
    Masrour, R., Bahmad, L., Benyoussef, A.: J. Magn. Magn. Mat. 324, 3991 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    Bahmad, L., Masrour, R., Benyoussef, A.: J. Supercond. Nov. Magn. 25, 2015–2018 (2012)CrossRefGoogle Scholar
  14. 14.
    Masrour, R., Bahmad, L., Benyoussef, A., Hamedoun, M., Hlil, E.K.: J Supercond. Nov. Magn. 26, 679685 (2013). 2015Google Scholar
  15. 15.
    Alzate-Cardona, J.D., Sabogal-Suárez, D., Restrepo-Parra, E.: J. Magn. Magn. Mat. 429, 34 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    Zheng, J., Wang, Y., Wang, L., Quhe, R., Ni, Z., Mei, W. N., Gao, Z., Yu, D., Shi, J., Lu, J.: Sci. Rep. 3, 2081 (2013)CrossRefGoogle Scholar
  17. 17.
    Şarlı, N., Akbudakb, S., Polat, Y., Ellialtıǧlu, M.R.: Phys. A 434, 194 (2015)CrossRefGoogle Scholar
  18. 18.
    Şarlı, N.: Phys. E. 83, 22 (2016)CrossRefGoogle Scholar
  19. 19.
    Jiang, W., Yang, Y.-Y., Guo, A.-B.: Carbon 95, 190 (2015)CrossRefGoogle Scholar
  20. 20.
    Roger, M., Delrieu, J.M.: Hetherington, Phys. Rev. Lett. 45, 137 (1980)ADSCrossRefGoogle Scholar
  21. 21.
    Landesman, A.: J. Phys. (Paris) Colloq. C6, 1305 (1978)Google Scholar
  22. 22.
    Scott, H.L.: Phys. Rev. A 37, 263 (1988)ADSCrossRefGoogle Scholar
  23. 23.
    Grimsditch, M., Loubeyre, P., Polian, A.: Phys. Rev. B 33, 7192 (1986)ADSCrossRefGoogle Scholar
  24. 24.
    Onyszkiewicz, Z.: Phys. Lett. A 68, 113 (1978)ADSCrossRefGoogle Scholar
  25. 25.
    Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: J. Chem. Phys. 21, 1087 (1953)ADSCrossRefGoogle Scholar
  26. 26.
    Jiang, W., Lo, V.-C., Bai, B.-D., Yang, J.: Phys. A 389, 2227 (2010)CrossRefGoogle Scholar
  27. 27.
    Rappoport, T.G., Uchoa, B., Castro Neto, A.H.: Phys. Rev. B 80, 245408 (2009)ADSCrossRefGoogle Scholar
  28. 28.
    Matte, H.S.S.R., Subrahmanyam, K.S., Rao, C.N.R.: Novel magnetic properties of graphene: presence of both ferromagnetic and antiferromagnetic features and other aspects. J. Phys. Chem. C 113, 9982 (2009)CrossRefGoogle Scholar
  29. 29.
    Kantar, E.: Chin. Phys. B 24(10), 107501 (2015)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Laboratoire de Physique des Matériaux et Modélisation des Systèmes (LP2MS), Unité Associée au CNRST-URAC: 08, Faculty of SciencesUniversity Moulay IsmailMeknesMorocco

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