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Prog. Theor. Phys. Vol. 39 No. 2 (1968) pp. 285-311

[ Full Text PDF : FREE ACCESS (1438K) ]

Anomalous Spin Relaxation near the Magnetic Transition

Kyozi Kawasaki

Department of Physics, Faculty of Science, Kyushu University, Fukuoka

(Received September 9, 1967)

Abstract:

This paper is concerned with a further exploration of the approach taken for the problem of anomalous spin diffusion in the isotropic ferromagnetic Heisenberg system in our previous work. First the approach is extended to the case of an isotropic antiferromagnetic spin system. Despite some complications which suggest a possible modification of the approach and lead to alternative self-consistent formulations other than the original one, we have obtained a unique time-scale characterizing the relaxation which grows as κ-3/2 near and above the Neel point, where κ is the reciprocal correlation range of spin fluctuations (critical slowing-down). This time-scale is in better accord with the recent neutron critical scattering experiment of Torrie on MnF2 than that of the conventional theory which behaves as κ-2. This result together with that of the ferromagnetic case are applied to the problems of NMR and ESR linewidths near the magnetic transitions. A simple method of obtaining the characteristic time-scales knowing the existence of the critical slowing-down is presented, and the characteristic time-scales in ferro- and antiferromagnetic cases are found to be determined by the long wavelength parts of the second moments of frequency spectra of appropriate spin relaxation functions. In the presence of uniaxial anisotropy the above treatments do not apply and the conventional theory of critical slowing-down appears to be adequate.


URL : http://ptp.ipap.jp/link?PTP/39/285/
DOI : 10.1143/PTP.39.285

[ Full Text PDF : FREE ACCESS (1438K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 57 (1988) pp. 2268-2271 :
    Z2 Vortex-Induced Broadening of the EPR Linewidth in the Two-Dimensional Triangular Lattice Antiferromagnets, HCrO2 and LiCrO2
    Yoshitami Ajiro, Hikomitsu Kikuchi, Shū-ichiro Sugiyama, Takeshi Nakashima, Shin-ichi Shamoto, Noriaki Nakayama, Masao Kiyama, Naoichi Yamamoto and Yoshio Oka
  2. Journal of the Physical Society of Japan 75 (2006) 094718 (7 pages) :
    ESR Measurements on One-Dimensional Quantum Ferrimagnets A3Cu3(PO4)4 with A=Sr and Ca in Submillimeter-Wave Region
    Shojiro Kimura, Hirofumi Ishikawa, Yuji Inagaki, Makoto Yoshida, Susumu Okubo, Hitoshi Ohta, Hiroyuki Nojiri, Alexei A. Belik, Masaki Azuma and Mikio Takano
  3. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1133-1152 :
    Dynamics of Critical Fluctuations. I
    Kyozi Kawasaki
  4. Progress of Theoretical Physics Vol. 40 No. 1 (1968) pp. 11-35 :
    Dynamics of Critical Fluctuations. II
    Kyozi Kawasaki
  5. Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 706-733 :
    Dynamics of Critical Fluctuations. III
    Kyozi Kawasaki
  6. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 1186-1187 :
    Estimate of Error Terms in the Dynamical Theory of Critical Fluctuations
    Kyozi Kawasaki
  7. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 1-25 :
    Effect of Magnetic Field on Sound Propagation near Magnetic Phase Transition Temperatures
    Masashi Tachiki and Sadamichi Maekawa
  8. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 808-817 :
    Critical Dynamics of Planar Ferromagnet with a Small Basal Plane Anisotropy
    Kyozi Kawasaki and Shinobu Hikami
  9. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1021-1041 :
    New Self-Consistent Approach to Spin Dynamics at High Temperatures
    Naruichi Nagao and Tuto Nakamura

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