Table of Contents
Physics Research International
Volume 2013 (2013), Article ID 634073, 4 pages
Research Article

Semiclassical Modeling of Isotropic Non-Heisenberg Magnets for Spin and Linear Quadrupole Excitation Dynamics

S.U. Umarov Physical-Technical Institute, Academy of Sciences of Republic of Tajikistan, Aini Avenue 299/1, Dushanbe, Tajikistan

Received 25 January 2013; Accepted 10 March 2013

Academic Editor: Ali Hussain Reshak

Copyright © 2013 Yousef Yousefi and Khikmat Kh. Muminov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. Manton and P. Sutcliffe, Topological Solitons, Cambridge university press, New York, NY, USA, 2004.
  2. E. L. Nagaev, “Anomalous magnetic structures and phase transitions in non-Heisenberg magnetic materials,” Soviet Physics, vol. 25, no. 1, pp. 31–75, 1982. View at Google Scholar
  3. E. L. Nagaev, Magnets with Nonsimple Exchange Interactions, Nauka, Moscow, Russia, 1988.
  4. V. M. Loktev and V. S. Ostrovski, “Peculiarities of the statics and dynamics of magnetic insulators with single-ion anisotropy,” Low Temperature Physics, vol. 20, no. 1, article 775, 26 pages, 1994. View at Publisher · View at Google Scholar
  5. B. A. Ivanov, A. Yu. Galkin, R. S. Khymyn, and A. Yu. Merkulov, “Nonlinear dynamics and two-dimensional solitons for spin-1 ferromagnets with biquadratic exchange,” Physical Review B, vol. 77, no. 6, Article ID 064402, 11 pages, 2008. View at Publisher · View at Google Scholar
  6. V. S. Ostrovskii, “Nonlinear dynamics of highly anisotropic spin-1 magnetic materials,” Journal of Experimental and Theoretical Physics, vol. 64, no. 5, p. 999, 1986. View at Google Scholar
  7. A. Imambekov, M. Lukin, and E. Demler, “Spin-exchange interactions of spin-one bosons in optical lattices: Singlet, nematic, and dimerized phases,” Physical Review A, vol. 68, no. 6, Article ID 063602, 24 pages, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. K. Harada, N. Kawashima, and M. Troyer, “Dimer-quadrupolar quantum phase transition in the quasi-one-dimensional heisenberg model with biquadratic interaction,” Journal of the Physical Society of Japan, vol. 76, Article ID 013703, 4 pages, 2007. View at Google Scholar
  9. T. Grover and T. Senthil, “Quantum spin nematics, dimerization, and deconfined criticality in quasi-1D spin-one magnets,” Physical Review Letters, vol. 98, Article ID 247202, 4 pages, 2007. View at Publisher · View at Google Scholar
  10. N. Papanicolaou, “Unusual phases in quantum spin-1 systems,” Nuclear Physics B, vol. 305, no. 3, pp. 367–395, 1988. View at Google Scholar · View at Scopus
  11. O. K. Abdulloev and K. K. Muminov, “Semiclassical description of anisotropic magnets acted upon by constant external magnetic fields,” Physics of the Solid State, vol. 36, no. 1, pp. 93–97, 1994. View at Publisher · View at Google Scholar
  12. A. Y. Fridman, O. A. Kosmachev, and B. A. Ivanov, “Spin nematic state for a spin S = 3/2 isotropic non-Heisenberg magnet,” Physical Review Letters, vol. 106, Article ID 097202, 2011. View at Google Scholar
  13. I. E. Dzyaloshinskii, “External magnetic fields of antiferromagnets,” Solid State Communications, vol. 82, no. 7, pp. 579–580, 1992. View at Publisher · View at Google Scholar
  14. A. Garg, “Spin tunneling in magnetic molecules: quasisingular perturbations and discontinuous SU(2) instantons,” Physical Review B, vol. 67, Article ID 054406, 13 pages, 2003. View at Publisher · View at Google Scholar
  15. M. S. Foss-Feig and J. R. Friedman, “Geometric-phase-effect tunnel-splitting oscillations in single-molecule magnets with fourth-order anisotropy induced by orthorhombic distortion,” Europhysics Letters, vol. 86, no. 1, article 27002, 2009. View at Publisher · View at Google Scholar
  16. M. Matusiewicz, M. Czerwinski, J. Kasperczyk, and I. V. Kityk, “Description of spin interactions in model [Fe6S6]4+ supercluster,” Journal of Chemical Physics, vol. 111, no. 14, pp. 6446–6455, 1999. View at Google Scholar
  17. V. G. Makhankov, M. A. Granados, and A. V. Makhankov, “Generalized coherent states and spin S1 systems,” Journal of Physics A, vol. 29, no. 12, 2005. View at Google Scholar