Abstract
We investigate the elementary excitations of quasi-one-dimensionalS = ½ systems built up from zigzag chains with generalisotropic exchange constants, using exact (Lanczos) diagonalizationfor 24 spins and series expansions starting from the decoupled dimerlimit. For the ideal one-dimensional zigzag chain we discuss thesystematic variation of the basic (magnon) triplet excitation withgeneral exchange parameters and in particular the presence ofpractically flat dispersions in certain regions of phase space. Weextend the dimer expansion in order to include the effects of three-dimensionalinteractions on the spectra of weakly interacting zigzag chains. Inan application to KCuCl3 we show that this approach allows us todetermine the exchange interactions between individual pairs of spinsfrom the spectra as determined in recent neutron scatteringexperiments.
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