Abstract
In this work, the theoretical studies, basing on the XY model, of possible magnetic ordering in ZrNiAl-type structure are presented. Our research are restricted to the ground state of XY Hamiltonian including interactions between nearest and next nearest magnetic moments. The influence of Dzialoshinsky–Moriya (DM) interaction is discussed as well. The results indicate several possible magnetic structures including simple ones of ferromagnetic or antiferromagnetic type. On the other hand, complicated magnetic structures described by commensurate as well as incommensurate propagation vectors were found as well. The resulting phase diagram of XY model is compared to experimentally determined magnetic structures of several compounds of ZrNiAl-type structure.
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