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Abstract

The inelastic magnetic scattering of neutron from a Heisenberg spin system is discussed with the use of the canonical correlation function. The second and fourth moments of the canonical correlation function are calculated in the paramagnetic range including the critical region of phase transition. Using these moments, and adopting a Gaussian torque assumption, the temperature and wavelength dependence of the width and the shape of the spectrum are derived. The results expalin various aspects of the recent experiments on RbMnF3 qualitatively and semi-quantitatively. Among others the criterion is discussed for a quasi-collective mode to appear in the paramagnetic range with reference to Bennett's work.

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Citing Article(s):

  1. Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1133-1149

    Spin-Wave Modes in a Heisenberg Linear Chain of Classical Spins Hiroyuki Tomita and Hiroyuki Mashiyama

  2. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 714-730

    Role of Anisotropy in Spin Dynamics Tatuo Kawasaki

  3. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1312-1331

    Physical Representation of Special Line Shape Based on Moments Kazuhisa Tomita and Hiroyuki Mashiyama

  4. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 641-642

    Spin Correlation Functions at High Temperatures Terumitsu Morita and Hazime Mori

  5. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 482-495

    Statistical Properties of Random Interface System Hiroyuki Tomita

  6. Progress of Theoretical Physics Vol. 111 No. 5 (2004) pp. 635-660

    Memory Function Approach to Chaos and Turbulence and the Continued Fraction Expansion Hazime Mori, Shoichi Kuroki, Hirotaka Tominaga, Ryuji Ishizaki and Nobuyuki Mori

  7. Progress of Theoretical Physics Supplement No.79 (1984) pp. 1-25

    The Significance of the Concept `Chaos' Kazuhisa Tomita

Copyright (c) 1971 Progress of Theoretical Physics
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