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- W1969923118 abstract "The wavevector-dependent spin autocorrelation function of a classical Heisenberg model on a square lattice is calculated from the coupled-mode theory of spin dynamics. This theory is consistent with the spherical model for static spin correlations; as the temperature, T, approaches zero the inverse correlation length kappa approximately exp(-const/T). For a ferromagnetic exchange coupling, the decay rate of long wavelength fluctuations, Gamma (q), is proportional to q2T1/2 in the limit (q/ kappa ) to infinity , whereas in the opposite, hydrodynamic limit Gamma (q) varies as q2(T 1n( kappa /q))1/2. At the wavevector for incipient antiferromagnetic ordering, the decay rate is proportional to kappa T1/2, while the corresponding decay rate near the Brillouin zone centre is proportional to (q2T1/2/ kappa ). The coupled-mode equations for ferromagnetically and antiferromagnetically coupled models are solved numerically on a fine grid of wavevectors. The spin autocorrelation function, and its power spectrum are surveyed over a wide range of temperatures and wavevectors." @default.
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- W1969923118 date "1994-08-29" @default.
- W1969923118 modified "2023-09-24" @default.
- W1969923118 title "A theory of spin dynamics in the classical two-dimensional Heisenberg magnet" @default.
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- W1969923118 doi "https://doi.org/10.1088/0953-8984/6/35/018" @default.
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