Theory of Antiferromagnetic Resonance

F. Keffer; C. Kittel

doi:10.1103/PhysRev.85.329

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Theory of Antiferromagnetic Resonance

F. Keffer and C. Kittel

Department of Physics, University of California, Berkeley, California

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Phys. Rev. 85, 329 – Published 15 January, 1952

DOI: https://doi.org/10.1103/PhysRev.85.329

Abstract

The spin resonance condition $\frac{ω}{γ} = H_{0} \pm {[H_{A} (2 H_{E} + H_{A})]}^{\frac{1}{2}}$ previously given by Kittel for a disk-shaped single-domain uniaxial or cubic antiferromagnetic crystal at 0°K with $H_{0}$ parallel to the domain axis is extended by classical calculations to cover finite temperature, ellipsoidal shape, orthorhombic symmetry, generalized two-lattice anisotropy, and arbitrary static field direction. The normal precessional modes are discussed. A quantum-mechanical derivation of the resonance equations is carried out by the method developed by Van Vleck for ferromagnetic resonance; no new features are introduced by the quantum-mechanical calculation. Several factors contributing to the line width are considered. Existing experimental data on antiferromagnetic resonance are reviewed; the data are scanty and taken in circumstances not closely related to the situation envisaged by the theory.

References (19)

C. Kittel, Phys. Rev. 82, 565 (1951)
Poulis, van den Handel, Ubbink, Poulis, and Gorter, Phys. Rev. 82, 552 (1951)
J. H. Van Vleck, Phys. Rev. 78, 266 (1950)
J. H. Van Vleck, J. Chem. Phys. 9, 85 (1941) J. phys. et radium 12, 262 (1951)
P. W. Anderson, Phys. Rev. 83, 1260 (1951)
Shull, Strauser, and Wollan, Phys. Rev. 83, 333 (1951)
J. H. Van Vleck, Phys. Rev. 74, 1168 (1948)
Omitted endnote
Omitted endnote
[2]
T. Nagamiya, Prog. Theor. Phys. 6, 342 (1951)
Omitted endnote
J. H. Van Vleck, Phys. Rev. 52, 1178 (1937)
C. Guillaud, Ferromagnétisme des alliages binaires de manganèse, thesis, Strasbourg, 1943
J. H. Van Vleck, Phys. Rev. 74, 1168 (1948)
[6]
C. A. Hutchison (private communication)
Trounson, Bleil, Wangsness, and Maxwell, Phys. Rev. 79, 542 (1950)
Okamura, Torizuka, and Kojima, Phys. Rev. 82, 285 (1951)

[c1] C. Kittel, Phys. Rev. 82, 565 (1951)

[c2] Poulis, van den Handel, Ubbink, Poulis, and Gorter, Phys. Rev. 82, 552 (1951)

[c3] J. H. Van Vleck, Phys. Rev. 78, 266 (1950)

[c4] J. H. Van Vleck, J. Chem. Phys. 9, 85 (1941) J. phys. et radium 12, 262 (1951)

[c5] P. W. Anderson, Phys. Rev. 83, 1260 (1951)

[c6] Shull, Strauser, and Wollan, Phys. Rev. 83, 333 (1951)

[c7] J. H. Van Vleck, Phys. Rev. 74, 1168 (1948)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] [2]

[c11] T. Nagamiya, Prog. Theor. Phys. 6, 342 (1951)

[c12] Omitted endnote

[c13] J. H. Van Vleck, Phys. Rev. 52, 1178 (1937)

[c14] C. Guillaud, Ferromagnétisme des alliages binaires de manganèse, thesis, Strasbourg, 1943

[c15] J. H. Van Vleck, Phys. Rev. 74, 1168 (1948)

[c16] [6]

[c17] C. A. Hutchison (private communication)

[c18] Trounson, Bleil, Wangsness, and Maxwell, Phys. Rev. 79, 542 (1950)

[c19] Okamura, Torizuka, and Kojima, Phys. Rev. 82, 285 (1951)

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Theory of Antiferromagnetic Resonance

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References (19)

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