Dynamics of quasi-one- and two-dimensional spin systems in the high-temperature limit

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Abstract
Analytic expressions for the low-order frequency moments (n=0, 2, 4, 6), of the relaxation shape function F(K, omega ), are derived for a Heisenberg paramagnet at infinite temperature. Tucker's work is extended to systems with quasi-one- and two-dimensional character. Second-stage Gaussian truncation of the memory function, which preserves these moments, is employed to compute the spin correlation as a function of the wavevector and the frequency. Time dependence of the self-correlation is also examined. Results of this paper should be useful in understanding neutron scattering and NMR data on a wide variety of such magnetic systems now available to the experimentalists.