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Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations

Received: 26 December 2016     Accepted: 13 January 2017     Published: 29 June 2017
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Abstract

We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We derive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitations from the ground state. Finally, the soliton solution for quadrupole branches for these linear equations is obtained.

Published in American Journal of Nano Research and Applications (Volume 5, Issue 3)
DOI 10.11648/j.nano.20170503.12
Page(s) 37-39
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Spin System, Non-isotropic Non-heisenberg Model, Soliton Solution

References
[1] E. L. Nagaev, Sov. Phys. Uspekhi, vol. 25, p. 31, 1982.
[2] E. L. Nagaev, “Magnets with Non-Simple Exchange Interactions,” Nauka: Moscow, 1988.
[3] V. M. Loktev and V. S. Ostrovskii, Low Temp. Phys., vol. 20, p. 775, 1994.
[4] Kh. O. Abdulloev, Kh. Kh. Muminov, Phys. Solid State, vol. 36, p. 170, 1994.
[5] Y. Yousefi and Kh. Kh. Muminov, Adv. Cond. Matter Phys., vol. 2015, p. 854625 (1–4), 2015.
[6] V. S. Ostrovskii, Sov. J. Exp. Theo. Phys., vol. 64, p. 999, 1986.
[7] Y. Yousefi and Kh. Kh. Muminov, Iranian J. Phys. Res, vol. 12, p. 179, 2012.
[8] L. Mead and N. Papanikolaou, Phys. Lett., vol. 41, p. 1137, 1978.
[9] Kh. O. Abdulloev and Kh. Kh. Muminov, Reps. Acad. Sci. Rep. Tajikistan, vol. 36, p. 6, 1993.
[10] Kh. O. Abdulloev and Kh. Kh. Muminov, Proc. Tajikistan Acad. Sci., vol. 1994-1, p. 28, 1994.
[11] Kh. Kh. Muminov and Y. Yousefi, Reps. Acad. Sci. Rep. Tajikistan, vol. 57, p. 660, 2014.
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  • APA Style

    Yousef Yousefi. (2017). Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations. American Journal of Nano Research and Applications, 5(3), 37-39. https://doi.org/10.11648/j.nano.20170503.12

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    ACS Style

    Yousef Yousefi. Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations. Am. J. Nano Res. Appl. 2017, 5(3), 37-39. doi: 10.11648/j.nano.20170503.12

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    AMA Style

    Yousef Yousefi. Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations. Am J Nano Res Appl. 2017;5(3):37-39. doi: 10.11648/j.nano.20170503.12

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  • @article{10.11648/j.nano.20170503.12,
      author = {Yousef Yousefi},
      title = {Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations},
      journal = {American Journal of Nano Research and Applications},
      volume = {5},
      number = {3},
      pages = {37-39},
      doi = {10.11648/j.nano.20170503.12},
      url = {https://doi.org/10.11648/j.nano.20170503.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.nano.20170503.12},
      abstract = {We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We derive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitations from the ground state. Finally, the soliton solution for quadrupole branches for these linear equations is obtained.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations
    AU  - Yousef Yousefi
    Y1  - 2017/06/29
    PY  - 2017
    N1  - https://doi.org/10.11648/j.nano.20170503.12
    DO  - 10.11648/j.nano.20170503.12
    T2  - American Journal of Nano Research and Applications
    JF  - American Journal of Nano Research and Applications
    JO  - American Journal of Nano Research and Applications
    SP  - 37
    EP  - 39
    PB  - Science Publishing Group
    SN  - 2575-3738
    UR  - https://doi.org/10.11648/j.nano.20170503.12
    AB  - We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We derive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitations from the ground state. Finally, the soliton solution for quadrupole branches for these linear equations is obtained.
    VL  - 5
    IS  - 3
    ER  - 

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Author Information
  • Department of Physics, Payame Noor University, Tehran, Iran

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