Skip to main content
Log in

Revisiting Spin Glasses: Impact of Spin-Spin Interaction Range

  • Condensed Matter
  • Published:
Brazilian Journal of Physics Aims and scope Submit manuscript

Abstract

A study of the physical properties of spin glass systems (SG) is carried out within the Monte Carlo technique. The studied systems are the “classic” CuMn and AuFe metallic alloys, where the RKKY interaction is used as a model for the interaction among the magnetic (Mn, Fe) atoms. A careful discussion about the approach to the equilibrium is addressed. By introducing a cutoff radius in the range on the spin-spin interaction, the results show the influence of this range on the spin-glass behavior of the alloys, where the SG behavior is only observed when the full (long range) RKKY is taken into account, specially for low concentrations x < 0.05.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. M. Hudl, R. Mathieu, P. Nordblad, Sci. Rep. 6, 19964 (2016)

    Article  ADS  Google Scholar 

  2. Z. Zhu, A.J. Ochoa, H.G. Katzgraber, Phys. Rev. Lett. 115(7), 077201 (2015)

    Article  ADS  Google Scholar 

  3. S. Bandiera, R.C. Sousa, S. Auffret, B. Rodmacq, B. Dieny, Appl. Phys. Lett. 101, 072410 (2012)

    Article  ADS  Google Scholar 

  4. S. Khmelevskyi, J. Kudrnovský, B.L. Gyorffy, P. Mohn, V. Drchal, P. Weinberger, Phys. Rev. B. 70, 224432 (2004)

    Article  ADS  Google Scholar 

  5. K. Binder, A.P. Young, Rev. Mod. Phys. 58, 801 (1986)

    Article  ADS  Google Scholar 

  6. W.Y. Ching, JD.L. Huber, J. Phys. F. Metal. Phys. 8, L63 (1978)

    Article  ADS  Google Scholar 

  7. L.R. Walker, R.E. Walstedt, Phys. Rev. Lett. 38, 514 (1977)

    Article  ADS  Google Scholar 

  8. Y. Lou, Q. Yang, Phys. Lett. A. 129, 76 (1988)

    Article  ADS  Google Scholar 

  9. J. Mlodzki et al., J. Magn. Magn. Mater. 86, 269 (1990)

    Article  ADS  Google Scholar 

  10. K.-C. Zhang et al., Phys. Lett. A. 376, 1898 (2012)

    Article  ADS  Google Scholar 

  11. D.L. Stein, C.M. Newman, Spin Glasses and Complexity (Princeton University Press, Princeton, 2013)

    Book  MATH  Google Scholar 

  12. J.A. Mydosh, Rep. Prog. Phys. 78, 052501 (2015)

    Article  ADS  Google Scholar 

  13. A.V. Lukoyanov, E. Kokorina, Phys. Rev. B. 80, 104409 (2009)

    Article  ADS  Google Scholar 

  14. K. Binder, D. Heermann, Monte Carlo Simulations in Statistical Physics. Springer (2010)

  15. D. Vanderbilt, Steven G. Louie, J. Comp. Phys. 56, 259–271 (1984)

    Article  ADS  Google Scholar 

  16. J. Schilling, Adv. Phys. 28, 657–715 (1979)

    Article  ADS  Google Scholar 

  17. M.E. McHenry, D.E. Laughlin, Phys. Metallur. 1881–2008 (2014)

  18. W. Nolting, A. Ramakanth, Quantum Theory of Magnetism (Springer, Berlin, 2009)

    Book  MATH  Google Scholar 

  19. S.F. Edwards, P.J. Anderson, Phys. F: Metal Phys. 5, 965 (1975)

    Article  ADS  Google Scholar 

  20. V. Canella, J. Mydosh, Phys. Rev. B. 6, 4220 (1972)

    Article  ADS  Google Scholar 

  21. B.R. Coles, B.T.R. Sarkissian, Philos. Mag. B. 37, 489 (1978)

    Article  ADS  Google Scholar 

  22. Y. Tabata et al., arXiv:1705.10241.pdf

  23. W. Wang et al., arXiv:1703.08679.pdf

  24. T. Aspelmeier et al., Phys. Rev. E. 93, 032123 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  25. M. Lewenstein, A. Sanpera, V. Ahufinger, Ultracold Atoms in Optical Lattices. Simulating Quantum Many-body Systems, 1st edn. Oxford (2012)

Download references

Acknowledgments

The authors acknowledge the Brazilian funding agencies FAPERJ and CNPq. A. S. Martins acknowledges particularly the agency FAPERJ the financial support through grant E-26/110.318/2014. We thank Dale M. Crouse for the reading of the Manuscript and suggestions for improving it. MF de Campos thanks FAPERJ and CNPq.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. S. Martins.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

da Silva, A.F., Martins, A.S., de Campos, M.F. et al. Revisiting Spin Glasses: Impact of Spin-Spin Interaction Range. Braz J Phys 48, 39–45 (2018). https://doi.org/10.1007/s13538-017-0547-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13538-017-0547-3

Keywords

Navigation