Skip to main content
Log in

Theoretical exploration on the magnetic properties of ferromagnetic metallic glass: An Ising model on random recursive lattice

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on the structural glass model well represents the magnetic moments in the glassy metal. The model is exactly solved by the recursive calculation technique. The magnetization of the amorphous Ising spins, i.e. the glassy metallic magnet is investigated by our modeling and calculation on a theoretical base. The results show that the glassy metallic magnets have a lower Curie temperature, weaker magnetization, and higher entropy compared to the regular ferromagnet in crystal form. These findings can be understood with the randomness of the amorphous system, and agree well with other experimental observations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Inoue, Y. Shinohara, J.S. Gook, Mater. Trans. 36, 1427 (1995)

    Article  Google Scholar 

  2. M. Telford, Mater. Today 7, 36 (2004)

    Article  Google Scholar 

  3. A. Inoue, B.L. Shen, C.T. Chang, Acta Mater. 52, 4093 (2004)

    Article  Google Scholar 

  4. J.H. Yao, J.Q. Wang, Y. Li, Appl. Phys. Lett. 92, 1 (2008)

    Google Scholar 

  5. J.F. Wang, R. Li, N.B. Hua, L. Huang, T. Zhang, Scr. Mater. 65, 536 (2011)

    Article  Google Scholar 

  6. A. Inoue, N. Nishiyama, Mater. Res. Soc. Bull. 32, 651 (2007)

    Article  Google Scholar 

  7. J. Becker, F. Luborsky, J.L. Walter, IEEE T. Magn. 13, 988 (1977)

    Article  ADS  Google Scholar 

  8. C.L. Chien, R. Hasegawa, Phys. Rev. B 16, 2115 (1977)

    Article  ADS  Google Scholar 

  9. A. Ślawska-Waniewska, M. Gutowski, H.K. Lachowicz, T. Kulik, H. Matyja, Phys. Rev. B 46, 14594 (1992)

    Article  ADS  Google Scholar 

  10. G. Shan, J.L. Zhang, J. Li, S. Zhang, Z. Jiang, Y. Huang, C. Shek, J. Magn. & Magn. Mater. 352, 49 (2014)

    Article  ADS  Google Scholar 

  11. J.W. Li, A.N. He, B.L. Shen, J. Alloy Compd. 586, S46 (2014)

    Article  Google Scholar 

  12. N. Decristofaro, A. Freilich, G. Fish, J. Mater. Sci. 17, 2365 (1982)

    Article  ADS  Google Scholar 

  13. J. Han, C. Wang, S. Kou, X. Liu, Trans. Nonferrous Met. Soc. China 23, 148 (2013)

    Article  Google Scholar 

  14. X. Yang, X. Ma, Q. Li, S. Guo, J. Alloy Compd. 554, 446 (2013)

    Article  Google Scholar 

  15. P. Jia, J. Liu, E. Wang, K. Han, J. Alloy Compd. 581, 373 (2013)

    Article  Google Scholar 

  16. H. Tian, H. Liu, C. Zhang, J. Zhao, C. Dong, B. Wen, J. Mater. Sci. 47, 7628 (2012)

    Article  ADS  Google Scholar 

  17. C. Xu, Z. Hou, R. Liu, Acta. Phys. Sin. 61, 136401 (2012) (in Chinese)

    Google Scholar 

  18. Y. Wang, Y. Zhang, A. Makino, Y. Liang, Y. Kawazoe, IEEE T. Magn. 50, 2003704 (2014)

    Google Scholar 

  19. E. Ising, Z. Phys. 31, 253 (1925)

    Article  ADS  Google Scholar 

  20. Ising model, retrieved from http://en.wikipedia.org/wiki/Ising_model (November 18, 2014)

  21. P.G. Debenedetti, F.H. Stillinger, Nature 410, 259 (2001)

    Article  ADS  Google Scholar 

  22. B.M. McCoy, T.T. Wu, The two-dimensional Ising model (Harvard University Press, Cambridge, 1973)

  23. R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982)

  24. P.D. Gujrati, Phys. Rev. Lett. 74, 809 (1995)

    Article  ADS  Google Scholar 

  25. F. Semerianov, P.D. Gujrati, Phys. Rev. E 72, 011102 (2005)

    Article  ADS  Google Scholar 

  26. E. Jurčišinová, M. Jurčišin, J. Stat. Phys. 147, 1077 (2012)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. K. Husimi, J. Chem. Phys. 18, 682 (1950)

    Article  MathSciNet  ADS  Google Scholar 

  28. R. Huang, P.D. Gujrati, arXiv:1209.2090 [cond-mat.stat-mech]

  29. R. Huang, C. Chen, Commun. Theor. Phys. 62, 749 (2014)

    Article  ADS  Google Scholar 

  30. R. Huang, C. Chen, J. Phys. Soc. Jpn. 83, 123002 (2014)

    Article  ADS  Google Scholar 

  31. L. Onsager, Phys. Rev. 65, 177 (1944)

    Article  MathSciNet  ADS  Google Scholar 

  32. L. Xia, M.B. Tang, K.C. Chan, Y.D. Dong, J. Appl. Phys. 115, 223904 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Ran Huang or Linyin Yan.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, R., Zhang, L., Chen, C. et al. Theoretical exploration on the magnetic properties of ferromagnetic metallic glass: An Ising model on random recursive lattice. Eur. Phys. J. Plus 130, 127 (2015). https://doi.org/10.1140/epjp/i2015-15127-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2015-15127-0

Keywords

Navigation