Skip to main content
SpringerLink
Log in

Real Space Renormalization Group Investigation of the Mixed Spins S = 1/2 and S = 3/2 Model

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

Using a real-space renormalization approach, namely the Migdal-Kadanoff one, we study the mixed Ising system with spins S = 1/2 and S = 3/2 on d-dimensional hypercubic lattice. We have determined the phase diagram in the plane (Δ/|J|, 1/|J|) as well as the eigenvalues of the transformation of the group in the vicinity of the critical points. A comparison with the results of other techniques was carried out.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Kahn, O.: In: Coronado, E. et al. (eds.) From Molecular Assemblies to the Devices. Kluwer Academic Publishers, Dordrecht (1996)

    Google Scholar 

  2. Albayrak, E., Alçi, A.: Phys. A 345, 48–60 (2005)

    ADS  Google Scholar 

  3. Drillon, M., Coronado, E., Beltran, D., Georges, R.: J. Chem. Phys. 79, 449 (1983)

    Google Scholar 

  4. Deviren, B., Keskin, M., Canko, O.: J. Magn. Magn. Mater. 321, 458–466 (2009)

    Article  ADS  Google Scholar 

  5. Buzano, C., Pelizzola, A.: Phys. A 216, 158 (1995)

    Article  ADS  Google Scholar 

  6. Man Ng, W., Barry, J.H.: Phys. Rev. B 17, 3675 (1978)

    Article  ADS  Google Scholar 

  7. Yüksel, Y., Akıncı, Ü., Polat, H.: Phys. A 391, 2819 (2012)

    Article  ADS  Google Scholar 

  8. Bobák, A., Jurcišin, M.: Phys. A 240, 647 (1997)

    Article  ADS  Google Scholar 

  9. Madani, M., Gaye, A., El Bouziani, M., Alrajhi, A.: Phys. A 437, 396–404 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  10. Berker, A.N., Wortis, M.: Phys. Rev. B 14, 4946 (1986)

    Article  ADS  Google Scholar 

  11. Benayad, N., Zittartz, J.: Z. Phys. B. Condensed. Matter 81, 107 (1990)

    Article  ADS  Google Scholar 

  12. Schofield, S.L., Bowers, R.G.: J. Phys. A: Math. Gen. 13, 3697 (1980)

    Article  ADS  Google Scholar 

  13. Ez-zahraouy, H., Kassou-ou-ali, A.: Phys. Rev. B 69, 064415 (2004)

    Article  ADS  Google Scholar 

  14. Barbara, B., Gignoux, D., Vettier, C.: Lectures on Modern Magnetism. Science Press and Springer, Berlin (1988)

    Google Scholar 

  15. Kaneyoshi, T.: Phys. Rev. B 34, 7866 (1986)

    Article  ADS  Google Scholar 

  16. Malakis, A., Nihat Berker, A., Fytas, N.G., Papakonstantinou, T.: Phys. Rev. E 85, 061106 (2012)

    Article  ADS  Google Scholar 

  17. Zhang, G.M., Yang, C.Z.: Phys. Rev. B 48, 9452 (1993)

    Article  ADS  Google Scholar 

  18. Buendia, G.M., Novotny, M.A.: J. Phys. Condens. Matter 9, 5951 (1997)

    Article  ADS  Google Scholar 

  19. Onsager, L.: Phys. Rev. 65, 117 (1944)

    Article  ADS  MathSciNet  Google Scholar 

  20. Krinsky, S., Mukamel, D.: Phys. Rev. B 11, 399 (1975)

    Article  ADS  Google Scholar 

  21. Sivardière, J., Blume, M.: Phys. Rev. B 5, 1071 (1972)

    Google Scholar 

  22. Bahmad, L., Benyoussef, A., El Kenz, A.: J. Magn. Magn. Mater. 320, 397 (2008)

    Article  ADS  Google Scholar 

  23. Kaneyoshi, T., Jascur, M.: Phys. Lett. A 177, 172 (1993)

    Article  ADS  Google Scholar 

  24. Saguia, A., Boechat, B., Continentino, M.A.: Phys. Rev. B 68, 020403 (2003)

    Article  ADS  Google Scholar 

  25. Bakchich, A., El Bouziani, M.: Phys. Rev. B 63, 064408 (2001)

    Article  ADS  Google Scholar 

  26. El Bouziani, M., Gaye, A.: Phys. A 392, 2643–2651 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  27. Bakchich, A., Bassir, A., Benyoussef, A.: Phys. A 195, 188–196 (1993)

    Article  ADS  Google Scholar 

  28. Bakchich, A., El Bouziani, M.: J. Phys. Condens. Matter 13, 91–99 (2001)

    Article  ADS  Google Scholar 

  29. Plascak, J.A., Moriera, J.G., SaBarreto, F.C.: Phys. Lett. A 173, 360 (1993)

    Article  ADS  Google Scholar 

  30. Tamashiro, M.N., Salinas, S.R.A.: Phys. A 172, 378 (1991)

    Article  Google Scholar 

  31. Benayad, N., Dakhama, A., Klümper, A., Zittartz, J.: Ann. Physik 5, 387 (1996)

    ADS  MathSciNet  Google Scholar 

  32. Jiang, W., Wei, G.-Z., Xin, Z.-H.: Phys. A 293, 455 (2001)

    Article  ADS  Google Scholar 

  33. Buendia, G.M., Cardona, R.: Phys. Rev. B 59, 10 (1999)

    Article  Google Scholar 

  34. Jabar, A., Masrour, R.: J Supercond. Nov. Magn. (2017)

  35. Bahmad, L., Benayad, M.R., Benyoussef, A., El Kenz, A.: Acta Phys. Pol. A 119, 740 (2011)

    Article  Google Scholar 

  36. Migdal, A.A.: Zh. Eksp. Teor. Fiz 69, 810 (1975). [Sov. Phys. JETP 42 (1975) 743]

    Google Scholar 

  37. Kadanoff, L.P.: Ann. Phys. (N.Y.) 100, 359 (1976)

    Article  ADS  Google Scholar 

  38. Hasenbusch, M.: Phys. Rev. B 83, 134425 (2011)

    Article  ADS  Google Scholar 

  39. Nienhuis, B., Nauenberg, M.: Phys. Rev. Lett. 35, 477 (1975)

    Article  ADS  Google Scholar 

  40. Tucker, J.W.: J. Magn. Magn. Mater. 237, 215–224 (2001)

    Article  ADS  Google Scholar 

  41. El Bouziani, M., Madani, M., Gaye, A., Alrajhi, A.: World J. Condens. Matter Phys. 6, 109–122 (2016)

    Article  ADS  Google Scholar 

  42. Strecka, J., Canova, L.: Condens. Matter Phys. 9, 179 (2006)

    Article  Google Scholar 

  43. Strecka, J., Jascur, M.: Acta Phys. Slovaca 65, 235–367 (2015)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire L. P. M. C, Département de Physique, Faculté des Sciences, Université Chouaib Doukkali, BP 20, 24000, El Jadida, Morocco

    M. Bourass, A. Zradba, S. Zouhair, A. El Antari, M. El Bouziani & A. Alrajhi

  2. Département de Physique-Chimie, CRMEF, Meknès, Morocco

    M. Madani

  3. Department of Information Technology, Faculty of Education and Applied Sciences, Hodeidah University, Raymah, Yemen

    A. Alrajhi

Authors
  1. M. Bourass
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Zradba
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Zouhair
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. El Antari
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. El Bouziani
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. M. Madani
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. A. Alrajhi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. El Bouziani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bourass, M., Zradba, A., Zouhair, S. et al. Real Space Renormalization Group Investigation of the Mixed Spins S = 1/2 and S = 3/2 Model. J Supercond Nov Magn 31, 541–546 (2018). https://doi.org/10.1007/s10948-017-4242-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-017-4242-y

Keywords

Search

Navigation