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Prog. Theor. Phys. Vol. 40 No. 1 (1968) pp. 36-48

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Diffuse Collective Mode in the Linear Magnetic Chain

Yoshiki Kuramoto

Department of Physics, Kyoto University, Kyoto

(Received February 8, 1968)

Abstract:

On the basis of the classical Heisenberg model, a phenomenological theory is presented in order to investigate the dynamical behavior of a linear magnetic chain. At low temperatures compared to the exchange constant J (kBT≪J), the short wavelength component of magnetization is shown to exhibit an oscillatory behavior, although the usual spin wave theory is not applicable. The present method becomes useful when the short range order in the system is highly developed and the sum rule concerning the length of the individual spin becomes important. No use is made of the properties inherent in a one-dimensional system except for the assumption that it remains paramagnetic even in the low temperature limit. Therefore, our theory may qualitatively apply even to three-dimensional systems such that their transition points are considerably lower than Jz/kB (z: the number of nearest neighbor spins), owing e. g. to their peculiar lattice structures. For this reason, the results obtained by the present theory imply the possible existence of the so-called “sloppy spin wave”.


URL : http://ptp.ipap.jp/link?PTP/40/36/
DOI : 10.1143/PTP.40.36

[ Full Text PDF : FREE ACCESS (669K) ] Citation:

References:

  1. K. Kawasaki, to be published.
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  3. R. Kubo and T. Toyabe, XIVth Colloque Ampère, Sept. (1966).
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 174-195 :
    Magnetic Properties of Low Dimensional Spin Systems
    Kazuko Kawasaki
  2. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1407-1436 :
    A Dynamic Approach to Phase Transition Based on Moments
    Kazuhisa Tomita and Hiroyuki Tomita
  3. 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
  4. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 482-495 :
    Statistical Properties of Random Interface System
    Hiroyuki Tomita

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