Skip to main content
Log in

The Kinetic Spin-1 Ising System on Triangular Lattice: the Effects of Crystal Field and Frequency of Oscillating External Magnetic Field

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

Abstract

Dynamic magnetic properties of the kinetic spin-1 Ising system on a triangular lattice are investigated by utilizing the mean field theory based on Glauber-type stochastic dynamics. In particular, we study the time variations of average order parameters and thermal behaviors of the dynamic magnetizations and present the dynamic phase diagrams. We also study the effects of the crystal field and the frequency of the oscillating external magnetic field on the dynamic phase diagrams. It is observed that the dynamic phase diagrams display richer dynamic critical behavior for high values of frequency and low values of crystal field.

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

Similar content being viewed by others

References

  1. Hardy, V., Lees, M.R., Petrenko, O.A., Paul, D.M., Flahaut, D., Hébert, S., Maignan, A.: Phys. Rev. B 70, 064424 (2004)

    Article  ADS  Google Scholar 

  2. Kudasov, Y.: Phys. Rev. Lett. 96, 027212 (2006)

    Article  ADS  Google Scholar 

  3. Soto, R., Martínez, G.s, Baibich, M.N., Florez, J.M., Vargas, P.: Phys. Rev. B 79, 184422 (2009)

    Article  ADS  Google Scholar 

  4. žukovič, M.: Eur. Phys. J. B 86, 283 (2013)

    Article  ADS  Google Scholar 

  5. Malakis, A., Fytas, N.G., Kalozoumis, P.: Physica A 383, 351 (2007)

    Article  ADS  Google Scholar 

  6. Fytas, N.G., Malakis, A.: Physica A 388, 4950 (2009)

    Article  ADS  Google Scholar 

  7. žukovič, M., Borovský, M., Bobák, A.: Phys. Lett. A 374, 4260 (2010)

    Article  ADS  Google Scholar 

  8. Melchert, O., Hartmann, A. K.: Comp. Phys. Commun. 182, 1828 (2011)

    Article  ADS  Google Scholar 

  9. Netz, R.R., Berker, A.N.: Phys. Rev. Lett. 66, 377 (1991)

    Article  ADS  Google Scholar 

  10. žukovič, M., Borovský, M., Bobák, A.: J. Magn. Magn. Mater. 324, 2687 (2012)

    Article  ADS  Google Scholar 

  11. žukovič, M., Mizisin, L., Bobák, A.: Phys. Lett. A 376, 1731 (2012)

    Article  MATH  ADS  Google Scholar 

  12. Borovský, M., žukovič, M., Bobák, A.: Physica A 392, 157 (2013)

    Article  ADS  Google Scholar 

  13. Pelizzola, A., Pretti, M.: Phys. Rev. B 60, 10134 (1999)

    Article  ADS  Google Scholar 

  14. Kaya, H., Berker, A.N.: Phys. Rev. E 62, R1469 (2000)

    Article  ADS  Google Scholar 

  15. Lacroix, C., Mendels, P., Mila, F. (eds.): Introduction to frustrated magnetism. Springer, Berlin (2011)

  16. Andrews, S., De Sterck, H., Inglis, S., Melko, R.G.: Phys. Rev. E 79, 041127 (2009)

    Article  ADS  Google Scholar 

  17. Collins, J.B., Rikvold, P.A., Gawlinski, E.T.: Phys. Rev. B 38, 6471 (1988)

    Google Scholar 

  18. Jurcisin, M., Bobák, A., Jaščur, M.: Physica A 224, 684 (1996)

    Article  ADS  Google Scholar 

  19. Theodorakis, P.E., Fyas, N.G.: Phys. Rev. E 86, 011140 (2012)

    Article  ADS  Google Scholar 

  20. žukovič, M., Bobák, A.: J. Kore. Phys. Soc. 62, 1495 (2013)

    Article  Google Scholar 

  21. žukovič, M., Bobák, A.: Phys. Rev. E 87, 032121 (2013)

    Article  ADS  Google Scholar 

  22. Ibenskas, A., Simenas, M., Tornau, E.E.: Phys. Rev. E 89, 052144 (2014)

    Article  ADS  Google Scholar 

  23. Tomita, Y., žukovič, M.: J. Phys. Soc. Jap. 83, 083001 (2014)

    Article  ADS  Google Scholar 

  24. Ertaş, M., Kocakaplan, Y., Kantar, E.: J. Magn. Magn. Mater. 386, 1 (2015)

    Article  Google Scholar 

  25. Ghosh, A., Chakrabarti, B.K.: Journal of Statistical Mechanics-Theory and Experiment P11015 (2013)

  26. Acharyya, M., Magn, J.: Magn. Mater. 323, 2872 (2011)

    Article  ADS  Google Scholar 

  27. Acharyya, M.: Phys. Scr. 84, 035009 (2011)

    Article  ADS  Google Scholar 

  28. Acharyya, M., Magn, J.: Magn. Mater. 334, 11 (2013)

    Article  ADS  Google Scholar 

  29. Acharyya, M., Magn, J.: Magn. Mater. 354, 349 (2014)

    Article  ADS  Google Scholar 

  30. Wang, C., Lu, Z.Z., Yuan, W.X., Kwok, S.Y., Teng, B.H.: Phys. Lett. A 375, 3405 (2011)

    Article  MATH  ADS  Google Scholar 

  31. Deviren, B., Ertaş, M., Keskin, M.: Phys. Scr. 85, 055001 (2012)

    Article  ADS  Google Scholar 

  32. Kantar, E., Ertaş, M., Keskin, M., Magn, J.: Magn. Mater. 361, 61 (2014)

    Article  ADS  Google Scholar 

  33. Kantar, E., Ertaş, M.: Superlattice. Microst. 75, 831 (2014)

    Article  ADS  Google Scholar 

  34. Keskin, M., Canko, O., Kantar, E.: Phys. Lett. A 373, 2201 (2009)

    Article  MATH  ADS  Google Scholar 

  35. Ertaş, M., Deviren, B., Keskin, M.: Phys. Rev. E 86, 051110 (2012)

    Article  ADS  Google Scholar 

  36. Ertaş, M., Keskin, M., Deviren, B., Magn, J.: Magn. Mater. 324, 1503 (2012)

    Article  ADS  Google Scholar 

  37. Ertaş, M., Keskin, M., Deviren, B.: Physica A 391, 1038 (2012)

    Article  ADS  Google Scholar 

  38. Canko, O., Kantar, E., Keskin, M.: Physica A 388, 28 (2009)

    Article  ADS  Google Scholar 

  39. Temizer, U., Kantar, E., Keskin, M., Canko, O., Magn, J.: Magn. Mater. 330, 1787 (2013)

    Google Scholar 

  40. Özkılıç, A., Temizer, Ü.: J. Magn. Magn. Mater. 330, 55 (2013)

    Article  ADS  Google Scholar 

  41. Korkmaz, T., Temizer, Ü.: J. Magn. Magn. Mater. 324, 3876 (2012)

    Article  ADS  Google Scholar 

  42. Ertaş, M., Kantar, E., Keskin, M.: J. Magn. Magn. Mater. 358, 56 (2014)

    Article  ADS  Google Scholar 

  43. Keskin, M., Temizer, Ü., Canko, O., Kantar, E.: Phase Trans. 80, 855 (2007)

    Article  Google Scholar 

  44. Deviren, S.A., Albayrak, E.: Phys. Rev. E 82, 1 (2010)

    Google Scholar 

  45. Shi, X.L., Wang, L., Wei, G.Z.: Commun. Theor. Phys. 55, 715 (2011)

    Article  MATH  ADS  Google Scholar 

  46. Shi, X., Wei, G.: Physica A 391, 29 (2012)

    Article  ADS  Google Scholar 

  47. Shi, X., Zhao, J., Xu, X.: Physica A 419, 234 (2015)

    Article  ADS  Google Scholar 

  48. Gedik, N., Yang, D.-S., Logvenov, G., Bozovic, I., Zewail, A.H.: Science 316, 425 (2007)

    Article  ADS  Google Scholar 

  49. Robb, D.T., Xu, Y.H., Hellwig, O., McCord, J., Berger, A., Novotny, M.A., Rikvold, P.A.: Phys. Rev. B 78, 134422 (2008)

    Article  ADS  Google Scholar 

  50. Samoilenko, Z.A., Okunev, V.D., Pushenko, E.I., Isaev, V.A., Gierlowski, P., Kolwas, K., Lewandowski, S.J.: Inorganic Mater. 39, 836 (2003)

    Article  Google Scholar 

  51. Jiang, Q., Yang, H.-N., Wang, G.C.: Phys. Rev. B 52, 14911 (1995)

    Article  ADS  Google Scholar 

  52. He, Y.L., Wang, G.C.: Phys. Rev. Lett. 70, 2336 (1993)

    Article  ADS  Google Scholar 

  53. Kleemann, W., Braun, T., Dec, J., Petracic, O.: Phase Transit. 78, 811 (2005)

    Article  Google Scholar 

  54. Temizer, U., Kantar, E., Keskin, M., Canko, O., Magn, J.: Magn. Mater. 320, 1787 (2008)

    Article  ADS  Google Scholar 

  55. Keskin, M., Ertaş, M., Canko, O.: Phys. Scr. 79, 025501 (2009)

    Article  ADS  Google Scholar 

  56. Keskin, M., Ertaş, M.: J. Stat. Phys. 139, 333 (2010)

    Article  MATH  ADS  Google Scholar 

  57. Ertaş, M., Kocakaplan, Y., Keskin, M.: J. Magn. Magn. Mater. 348, 113 (2013)

    Article  ADS  Google Scholar 

  58. Keskin, M., Ertaş, M.: Chin. Phys. B 22, 120507 (2013)

    Article  Google Scholar 

  59. Collins, J.B., Rikvold, P.A., Gawlinski, E.T.: Phys. Rev. B 38, 6741 (1988)

    Article  ADS  Google Scholar 

  60. Ertaş, M., Deviren, B., Keskin, M.: Phys. Rev. E 86, 051110 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) (grant no: 114F008) and Erciyes University Research Funds (grant no: FDA-2014-5188).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mehmet Ertaş.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ertaş, M., Kantar, E. The Kinetic Spin-1 Ising System on Triangular Lattice: the Effects of Crystal Field and Frequency of Oscillating External Magnetic Field. J Supercond Nov Magn 28, 3037–3044 (2015). https://doi.org/10.1007/s10948-015-3134-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-015-3134-2

Keywords

Navigation