A Self-Consistent Approach to Spin Systems

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Abstract
A self-consistent equation is proposed for the dynamical variable of the Heisenberg spin system. On the basis of this equation, the dynamical scaling law can be understood as a particular property of the most dominant part responsible for the critical anomaly. Critical exponents of characteristic frequencies are (5+η)/2 and (3+η)/2 in ferro- and antiferromagnets respectively. When transfer wave vectors in inelastic neutron scattering experiments exceed a certain value, absorption spectrum is no longer Lorentzian or Gaussian and often shows collective-mode like peaks. Conditions for the appearance of such peaks are also discussed.

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