Low temperature dynamics of a linear chain of classical spins with Dzyaloshinski-Moriya interaction

We calculate the low temperature dynamic relaxation function for the one-di mensional classical planar antiferromagnet with a Dzyaloshinski-Moriya inte raction normal to the xy-plane using a projection operator technique. At ab solute zero temperature the interaction gives rise to a canted structure si milar to the weak ferromagnetic arrangement observed in some three-dimensio nal compounds. We obtain an analytical expression for the time dependent me mory function and its Laplace transform. (C) 1998 Published by Elsevier Sci ence Ltd.