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Magnetic Properties of Mixed Spin Ising Diamond Chain

Received: 30 December 2015    Accepted:     Published: 30 December 2015
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Abstract

In this paper, we establish a mixed spin Ising diamond chain model on the basis of the effective-field theory with correlations. The formula of the magnetization and the magnetic susceptibility has been given. Effects of the various parameters such as exchange couplings and the anisotropy on the magnetization and the magnetic susceptibility of Ising diamond chain have been studied using numerical calculation. The results show that magnetization curves appear magnetization plateaus. The numbers of magnetization plateaus change with the exchange couplings and the anisotropy. The magnetic susceptibility changes with the exchange couplings, the anisotropy and the external magnetic field.

DOI 10.11648/j.earth.20150406.20
Published in Earth Sciences (Volume 4, Issue 6, December 2015)
Page(s) 280-285
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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), 2024. Published by Science Publishing Group

Keywords

The Effective-Field Theory with Correlations, Diamond Chain, The Anisotropy, The Magnetization, The Magnetic Susceptibility

References
[1] C. W. Rischau, B. Leridon, D. Colson, A. Forget, P. Monod, BaCu3O4: High-temperature magnetic order in one-dimensional S=1/2 diamond chains [J]. Phys. Rev. B. 2012, 85: 134518.
[2] 冯丽雅,辛子华,王吴韬.一维钻石链反铁磁Ising模型磁化的模拟[J].计算物理,2010,27(4):613。
[3] Z. H. Xin, S. Chen, C. Y. Zhang, J. Spin frustration-related behavior of mixed spin diamond chain[J]. J. Magn. Magn. Mater, 2012, 324: 3704.
[4] K. Okamoto1, T. Tonegawa, M. Kaburagi. Magnetic properties of the s=1/2 distroted diamond chain at T=0 [J]. J. Phys.: Condens. Matter, 2003, 15(35): 5979.
[5] M. Drillon, E. Coronado, M. Belaiche, et al. Low-dimensional magnetic systems; from 1D to 3D ferrimagnets [J]. J. Appl. Phys. 1988, 63(8): 3551.
[6] A. Honecker, S. J. Hu, R. Peters, et al. Dynamic and thermodynamic properties of the generalized diamond chain model for azurite [J]. J. Phys.: Condens. Matter, 2011, 23(16): 164211.
[7] J. J. Jiang, Y. J. Liu, F. Tang,, et al. The exact ground state and the origin of the apin gap in the distroted mixed spin (1,1/2) diamond chain [J]. Physica B, 2012, 407(24): 4810.
[8] T. M. Cheng, Y. M. Ma, L. Li, et al. Magnetism and thermodynamic properties of a spin -1/2 ferrimagnetic diamond XY chain in magnetic fields at finite temperatures [J]. Journal of the Korean Physical Society, 2013, 62(1): 104-105.
[9] B. Lisnyi, J. Strecka. Ground-state phase diagram and magnetization process of the exactly solved mixed spin – (1,1/2) Ising diamondn chain [J]. J. Magn. Magn. Mater, 2013, 346: 78-83.
[10] N. Ananikian, H. Lazaryan, M. Nalbandyan. Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite [J]. Eur. Phys. J. B, 2012, 85(7): 223.
[11] W. Jiang, L. M. Liu, X. X. Li, et al. Magnetization plateaus of a ferrimagnetic nanoparticle in the presence of single-ion anisotropies [J]. Physica B, 2012, 407(19): 3933.
Author Information
  • School of Science, Shenyang University of Technology, Shenyang, China

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    Ma Xiao-Yu. (2015). Magnetic Properties of Mixed Spin Ising Diamond Chain. Earth Sciences, 4(6), 280-285. https://doi.org/10.11648/j.earth.20150406.20

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    Ma Xiao-Yu. Magnetic Properties of Mixed Spin Ising Diamond Chain. Earth Sci. 2015, 4(6), 280-285. doi: 10.11648/j.earth.20150406.20

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    Ma Xiao-Yu. Magnetic Properties of Mixed Spin Ising Diamond Chain. Earth Sci. 2015;4(6):280-285. doi: 10.11648/j.earth.20150406.20

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  • @article{10.11648/j.earth.20150406.20,
      author = {Ma Xiao-Yu},
      title = {Magnetic Properties of Mixed Spin Ising Diamond Chain},
      journal = {Earth Sciences},
      volume = {4},
      number = {6},
      pages = {280-285},
      doi = {10.11648/j.earth.20150406.20},
      url = {https://doi.org/10.11648/j.earth.20150406.20},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.earth.20150406.20},
      abstract = {In this paper, we establish a mixed spin Ising diamond chain model on the basis of the effective-field theory with correlations. The formula of the magnetization and the magnetic susceptibility has been given. Effects of the various parameters such as exchange couplings and the anisotropy on the magnetization and the magnetic susceptibility of Ising diamond chain have been studied using numerical calculation. The results show that magnetization curves appear magnetization plateaus. The numbers of magnetization plateaus change with the exchange couplings and the anisotropy. The magnetic susceptibility changes with the exchange couplings, the anisotropy and the external magnetic field.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Magnetic Properties of Mixed Spin Ising Diamond Chain
    AU  - Ma Xiao-Yu
    Y1  - 2015/12/30
    PY  - 2015
    N1  - https://doi.org/10.11648/j.earth.20150406.20
    DO  - 10.11648/j.earth.20150406.20
    T2  - Earth Sciences
    JF  - Earth Sciences
    JO  - Earth Sciences
    SP  - 280
    EP  - 285
    PB  - Science Publishing Group
    SN  - 2328-5982
    UR  - https://doi.org/10.11648/j.earth.20150406.20
    AB  - In this paper, we establish a mixed spin Ising diamond chain model on the basis of the effective-field theory with correlations. The formula of the magnetization and the magnetic susceptibility has been given. Effects of the various parameters such as exchange couplings and the anisotropy on the magnetization and the magnetic susceptibility of Ising diamond chain have been studied using numerical calculation. The results show that magnetization curves appear magnetization plateaus. The numbers of magnetization plateaus change with the exchange couplings and the anisotropy. The magnetic susceptibility changes with the exchange couplings, the anisotropy and the external magnetic field.
    VL  - 4
    IS  - 6
    ER  - 

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