Prog. Theor. Phys. Vol. 44 No. 5 (1970) pp. 1173-1191

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Green's Function Theory of Magnetic Relaxation. IV

— Critical Behaviour of Paramagnetic Resonance —

Kazuhisa Tomita and Tatuo Kawasaki

Department of Physics, Faculty of Science, Kyoto University, Kyoto

(Received May 9, 1970)

Abstract:

The behaviour of paramagnetic resonance, in particular its width and shape, in the neighbourhood of a magnetic transition is calculated on the basis of a Green's function method. The calculation presented in our previous paper is re-examined and refined. New results are discussed in physical terms and compared with existing experimental data. A quantitative agreement is found in the case of MnF₂ without any adjustable parameter. Temperature change of line shape is predicted for a large value of anisotropy.

URL : http://ptp.ipap.jp/link?PTP/44/1173/
DOI : 10.1143/PTP.44.1173

References:

Series of our papers are cited as follows:
Paper I: K. Tomita and M. Tanaka, Prog. Theor. Phys. 29 (1963), 528[PTP];
Paper II: K. Tomita and M. Tanaka, Prog. Theor. Phys. 29 (1963), 651[PTP];
Paper III: K. Tomita and M. Tanaka, Prog. Theor. Phys. 33 (1965), 1[PTP].
L. Onsager, Phys. Rev. 37 (1931), 405[APS]; ibid. 38 (1931), 2265[APS].
H. B. Callen, Phys. Rev. 130 (1963), 890[APS].
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E. W. Montroll, Nuovo Cim. Suppl. Vol. VI, Series IX, Paper No. XII (1949).
M. Abranowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover publications, Inc., New York, 1964).
I. Mannari and C. Kawabata, Research Notes of Dept. of Phys., Okayama University No. 15 (1964).
See, for example, Encyclopedia of Physics, edited by S. Flugge (Springer-Verlag, Berlin, Vol. XVII, (1956), p. 123.
P. G. de Gennes, J. Phys. Chem. Solids 4 (1958), 223[CrossRef].
P. G. de Gennes and J. Villain, J. Phys. Chem. Solids 13 (1960), 10[CrossRef].
L. Van Hove, Phys. Rev. 95 (1954), 249[APS]; ibid. 95 (1954), 1374[APS].
M. B. Salamon, Phys. Rev. 135 (1967), 224[APS].
J. F. Dillon and J. P. Remeika, Proceedings of the XIth Colloque Ampère, Eindhoven, 1962, p. 480.
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M. S. Seehra and T. G. Castner, Jr., to be published.
J. C. Burgiel and M. W. P. Strandberg, J. Phys. Chem. Solids 26 (1965), 865[CrossRef].
H. Mori, Prog. Theor. Phys. 30 (1963), 578[PTP].
W. Marshall, Proceedings of Conference on Critical Phenomena (Washington D. C., 1966), p. 135.

Citing Article(s) :

Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 1-24 :
Critical Magnetic Relaxation

Kazuhisa Tomita and Tatuo Kawasaki
Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 355-356 :
Tomita-Tanaka Approximation in the Ising Limit

L. A. Murray and B. Frank
Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 714-730 :
Role of Anisotropy in Spin Dynamics

Tatuo Kawasaki