Spin waves localized near the interface of two magnetically ordered systems with uniaxial long-range interaction

The influence of uniaxial long-range interaction on the properties of spin waves localized near a plane interface is investigated. Two cases are considered, viz., when the long-range exchange interaction along the chains is of a ferromagnetic nature, and when it is of an alternating ferro- and antiferromagnetic nature. It is shown that the characteristics of the localized spin-wave states depend strongly on the decay rate and the nature of the uniaxial long-range interaction. It is also found that the role played by the long-range antiferromagnetic interaction is fundamental in the investigation of the stability of the ferromagnetic ordering at the interface in the ground state of the system: The instability that occurs under certain conditions in the approximation of interaction between a finite number of neighbors always vanishes when the long-range interaction is taken into consideration.

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