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Prog. Theor. Phys. Vol. 39 No. 4 (1968) pp. 876-896

[ Full Text PDF : FREE ACCESS (1316K) ]

Ultrasonic Attenuation near the Magnetic Critical Point

Kensuke Tani and Hazime Mori*

Department of Chemistry, Kyoto University, Kyoto
*Department of Physics, Kyushu University, Fukuoka

(Received November 13, 1967)

Abstract:

The anomalous behavior of the attenuation constant of the longitudinal ultrasonic wave in ferro- and antiferromagnets near the critical point is investigated. The modulation of the Heisenberg exchange interaction due to the lattice vibration leads to an interaction of the sound wave with the spins, which gives rise to a sound attenuation. It is shown on the basis of this interaction that the critical fluctuations in the spin system lead to an anomalous behavior of the sound attenuation. This mechanism is different from that of Landau and Khalatnikov and is shown to give results which agree with recent experiments by Neighbours et al. on MnF2. The dependence of the attenuation constnat upon the temperature, the exchange interaction, and the wave number of the sound is explicitly determined. An anisotropy of the attenuation constant with respect to the direction of the propagation of sound is predicted.


URL : http://ptp.ipap.jp/link?PTP/39/876/
DOI : 10.1143/PTP.39.876

[ Full Text PDF : FREE ACCESS (1316K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 58 (1989) pp. 3347-3354 :
    Temperature Dependence of Ultrasonic Attenuation Coefficient and Elastic Constant for Heavy-Fermion System UPt3
    Atsunobu Nakamura, Norio Kawakami and Ayao Okiji
  2. Progress of Theoretical Physics Vol. 40 No. 6 (1968) pp. 1449-1451 :
    Attenuation of First Sound near the λ-Point of Helium
    Masakazu Ichiyanagi
  3. Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 590-603 :
    Longitudinal Spin Pair Correlation in Ferro- and Antiferromagnets with Uniaxial Anisotropy
    Hideho Tanaka and Kensuke Tani
  4. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 891-901 :
    Ultrasonic Attenuation in Magnetics at Low Temperatures
    Kensuke Tani
  5. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1121-1122 :
    Proton Dynamics and Ultrasonic Attenuation of KDP-Type Ferroelectrics
    Shiro Isa and Kyozi Kawasaki
  6. 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
  7. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 787-801 :
    Sound Attenuation in Magnetic Metals
    Sadamichi Maekawa and Masashi Tachiki

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