中国物理B ›› 2008, Vol. 17 ›› Issue (2): 710-715.doi: 10.1088/1674-1056/17/2/058

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Theoretical analysis of the anisotropy of the magnetization of the Ho3+ ion in holmium iron garnet single crystals

马胜灿1, 徐 游2, 杨杰慧3   

  1. (1)College of Physics & Information Engineering, Henan Normal University, Xinxiang 453007, China; (2)Department of Physics, Nanjing University, Nanjing 210093, China; (3)Physical Science College, Luoyang NormalUniversity, Luoyang 471022, China
  • 收稿日期:2007-07-13 修回日期:2007-08-21 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 0611054000).

Theoretical analysis of the anisotropy of the magnetization of the Ho3+ ion in holmium iron garnet single crystals

Yang Jie-Hui(杨杰慧)a)†, Ma Sheng-Can(马胜灿)b), and Xu You(徐游)c)   

  1. a Physical Science College, Luoyang NormalUniversity, Luoyang 471022, China; b College of Physics & Information Engineering, Henan Normal University, Xinxiang 453007, China; c Department of Physics, Nanjing University, Nanjing 210093, China
  • Received:2007-07-13 Revised:2007-08-21 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 0611054000).

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摘要： The spontaneous magnetization of the Ho$^{3+}$ ion in holmium iron garnet (HoIG) single crystals in the temperature range of 4.2--294\,K along the directions [111], [110], and [100] are calculated, taking into account the effects of six magnetically inequivalent sites occupied by the Ho$^{3+}$ ions based on the quantum theory. The calculated results show that the magnetization of the Ho$^{3+}$ ion in HoIG is obviously anisotropic. The theoretical results are in agreement with those of experiments. A primary interpretation of the anisotropy of magnetization of the Ho$^{3+}$ ion in HoIG is put forward.

关键词: Anisotropy, magnetization, crystal field, superexchange interaction, rare-earth sublattice-site

Abstract: The spontaneous magnetization of the Ho$^{3+}$ ion in holmium iron garnet (HoIG) single crystals in the temperature range of 4.2--294 K along the directions [111], [110], and [100] are calculated, taking into account the effects of six magnetically inequivalent sites occupied by the Ho$^{3+}$ ions based on the quantum theory. The calculated results show that the magnetization of the Ho$^{3+}$ ion in HoIG is obviously anisotropic. The theoretical results are in agreement with those of experiments. A primary interpretation of the anisotropy of magnetization of the Ho$^{3+}$ ion in HoIG is put forward.

Key words: Anisotropy, magnetization, crystal field, superexchange interaction, rare-earth sublattice-site

中图分类号:  (Magnetic anisotropy)

  • 75.30.Gw
75.60.Ej (Magnetization curves, hysteresis, Barkhausen and related effects) 75.30.Et (Exchange and superexchange interactions) 75.10.Dg (Crystal-field theory and spin Hamiltonians)