Abstract
A quantum spin model with competing ferro- and antiferromagnetic exchange interactions was studied. The model described a special class of quasi-one-dimensional cuprates. The influence of anisotropy of exchange interactions on the properties of the model was analyzed. It was shown that, under certain conditions, the ferromagnetic state was the ground state, and the spectrum of excitations was characterized by the presence of bound magnon states. The results are used to analyze the magnetic properties of the Li2CuO2 quasi-one-dimensional cuprate.
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