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Prog. Theor. Phys. Vol. 6 No. 3 (1951) pp. 342-349

[ Full Text PDF : FREE ACCESS (620K) ]

Theory of Antiferromagnetism and Antiferromagnetic Resonance Absorption, I

Takeo Nagamiya

Department of Physics, Osaka University

(Received March 24, 1951)

Abstract:

It will be pointed out that the anisotropy energy is of primary importance in the theory of antiferromagnetism. The formula for the susceptibility χ= (χ∥ + 2χ⊥)/3, which follows in van Vleck's theory from a rather arbitrary assumption that the parallel and perpendicular domains are distributed with a ratio 1:2, can only be justified by inclusion of anisotropy energy. Formula for the dependency of the susceptibility upon external magnetic field will be derived and it will be shown that the field-dependent part varies proportional to the square of the intensity of the magnetic field, and inversely proportional to the anisotropy constant.


URL : http://ptp.ipap.jp/link?PTP/6/342/
DOI : 10.1143/PTP.6.342

[ Full Text PDF : FREE ACCESS (620K) ] Citation:

References:

  1. L. Néel, Ann. de Phys. 17 (1932), 64; ibid. 5 (1936), 223.
  2. J. H. van Vleck, J. C. P. 9 (1941), 85.
  3. C. G. Shull and J. S. Smart, Phys. Rev. 76 (1949), 1256[APS]. (Neutron scattering.)
  4. E. P. Trounson, D. F. Bleil, R. K. Wangsness and L. R. Maxwell, Phys. Rev. 79 (1950), 542[APS]. (Microwave resonance absorption.)
  5. P. W. Anderson, Phys. Rev. 79 (1950), 351[APS]. (Theory of super-exchange.)
  6. L. Néel, Ann. de Phys. 12e Série, 3 (1948), 137; Ann. de l'Institut Fourier, 1 (1949), 163. (Theory if ferrimagnetism and antiferromagnetism.)
  7. S. Greenwald and J. S. Smart, Nature 166 (1950), 523[CrossRef];
    N. C. Tombs and H. P. Rooksby, Nature 165 (1950), 443. (Small change in crystalline structure.)
  8. J. C. Slater, Phys. Rev. 35 (1930), 509[APS].
  9. H. Bizette, C. F. Squire and B. Tsai, Compt. Rend. de l'Acad. Sci. Paris 207 (1938), 449.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 57 (1988) pp. 3979-4003 :
    ESR in Hexagonal ABX3-Type Antiferromagnets. I. Ground State Properties in Easy-Axis Anisotropy Case
    Hidekazu Tanaka, Soichiro Teraoka, Eiichiro Kakehashi, Katsunori Iio and Kazukiyo Nagata
  2. Journal of the Physical Society of Japan 63 (1994) pp. 289-297 :
    Multi-Sublattice Magnetic Structure of KCuF3 Caused by the Antisymmetric Exchange Interaction: Antiferromagnetic Resonance Measurements
    Isao Yamada and Naoshi Kato
  3. Journal of the Physical Society of Japan 69 (2000) pp. 4043-4048 :
    ESR of Antiferromagnetic Cluster
    Akira Ogasahara and Seiji Miyashita
  4. Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 356-365 :
    Note on the Magnetic Properties of the FeSn System
    Kei Yosida
  5. Progress of Theoretical Physics Vol. 6 No. 5 (1951) pp. 691-701 :
    On the Antiferromagnetism of Single Crystals
    Kei Yosida
  6. Progress of Theoretical Physics Vol. 7 No. 5 (1952) pp. 539-550 :
    On the Spin Wave Theory of Magnetic Susceptibility and Resonance Absorption in Antiferromagnetics
    Tutô Nakamura
  7. Progress of Theoretical Physics Vol. 17 No. 5 (1957) pp. 659-678 :
    Note on the Ferromagnetic Resonance Absorption
    Takehiko Oguchi

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