Green's Function Theory for Ising Model in Transverse field for Arbitrary Spin

Authors

  • Angel T. Apostolov  University of Architecture, Civil Engineering and Geodesy, Faculty of Hydrotechnics, Hr. Smirnenski Blvd. 1, 1046 Sofia, Bulgaria
  • Iliana N. Apostolova  University of Forestry, Faculty of Forest Industry, Kl. Ohridsky Blvd. 10, 1756 Sofia, Bulgaria

Keywords:

Transverse Ising Model, Arbitrary Pseudo-Spin, Green's Function

Abstract

We have studied the transverse Ising system in terms of pseudo-spin variables S with arbitrary pseudo-spin using Green's function technique and method proposed by Tserkovnikov. The phase diagrams, the longitudinal and the transverse polarizations are obtained. Numerical results are performed and analyzed for the particular cases S=3/2 and S = 2.

References

  1. Blinc and B.Zeks, Soft mode in Ferroelectrics and Antiferroelectrics, (North-Hoilland, Amsterdam, 1974).
  2. B. Stinchcombe, J. Phys. C: Solid St. Phys. 6, 2459 (1973).
  3. Kuehnel, S. Wendt, and J. Wesselinowa, Phys. stat. sol. (b) 84, 653 (1977).
  4. H. Teng and H. K. Sy, Europhys. Lett. 73, 601 (2006).
  5. J. Oitmaa and G. J. Coombs, J. Phys. C 14, 143 (1981).
  6. Y. Ma and C. Gong, J. Phys.: Condens. Matter 4, L313 (1992).
  7. T. Kaneyoshi, M. Jascur and I. P. Fittipaldi, Phys. Rev. B 48, 250 (1993).
  8. A. Elkouraychi, M. Saber and J. W. Tucker, Physica A 213, 576 (1995).
  9. Strecka and M. Jascur, acta phys. slov. 65, 235 (2015).
  10. B. Brown, Phys. Rev. B 43, 13664 (1991).
  11. Fiebig, J. Phys. D: Appl. Phys. 38, R123 (2005).
  12. Wu, Q. Jiang, and W. Z. Shen, Phys. Lett. A 330, 358 (2004).
  13. Michael and S. Trimper, Phys. Rev. B 83, 134409 (2011).
  14. Liu, L.-J. Zhai and H.-Y. Wang, Chin. Phys. B 24, 037510 (2015).
  15. Wesselinowa and I. Apostolova, J. Appl. Phys. 104, 084108 (2008).
  16. M. Wesselinowa and St. Kovachev, J. Appl. Phys. 102, 043911 (2007).
  17. G. Bahoosh, J. M. Wesselinowa and S. Trimper, phys. stat. sol. (b) 250, 1816 (2013).
  18. Wang and M. J. Grimson, Eur. Phys. J. Appl. Phys. 70, 30303 (2015).
  19. B. Van Aken, T. T. M. Palstra, A. Filippetti and N. A. Spaldin, Nat.Mater. 3, 164 (2004).
  20. Inomata and K. Kohn, J. Phys.: Condens. Matter 8, 2673 (1996).
  21. Zavaliche, S. Y. Yang, T. Zhao, Y. H. Chu, M. P. Cruz, C. B. Eom and R. Ramesh, Phase Transitions 79, 991 (2006)).
  22. Zavaliche, R. R. Das, D. M. Kim, C. B. Eom, S. Y. Yang, P. Shafer and R. Ramesh, Appl. Phys. Lett. 87, 182912 (2005).
  23. Michel, J.-M. Moreau, G. D. Achenbechi, R. Gerson and W. J. James, Solid State Commun. 7, 701 (1969).
  24. K. Streiffer, C. B. Parker, A. E. Romanov, M. J. Lefevre, L. Zhao, J. S. Speck, W. Pompe, C. M. Foster and G. R. Baiet, J. Appl. Phys. 83, 2742 (1998).
  25. A. Tserkovnikov, Theor. Math. Fiz. 7, 250 (1971).
  26. V.Tyiablikov, Methods in thr Quantum Theory of Magnetism , ISBN: 978-1-4899-2091-6 Springer (1967).

International Journal of Scientific Research in Science and Technology

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Published

2016-12-30

Issue

Volume 2, Issue 6 , November-December-2016

Section

Research Articles

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How to Cite

[1]
Angel T. Apostolov, Iliana N. Apostolova, " Green's Function Theory for Ising Model in Transverse field for Arbitrary Spin, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 2, Issue 6 , pp.414-420, November-December-2016.