Spin dynamics of Heisenberg chains: a comparison between theoretical and computer simulation studies

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Abstract
Methods are explored by which computer simulation can be used as a test of the extensive theoretical literature on the linear Heisenberg chain. The computed relaxation function is compared directly with theory where possible. For theories describing the spin-wave frequency and damping a new method is described allowing these to be deduced even when the frequency distribution contains a central diffusive peak and the lineshapes are asymmetric. The computed frequency distribution shows significant discrepancies with all published theories beyond the low-temperature regime.