Localized excitations and scattering of spin waves in ferromagnetic chains containing magnetic nanoclusters

TL;DR

This paper provides an exact analysis of localized spin wave excitations and scattering in a one-dimensional ferromagnetic chain with magnetic nanoclusters, revealing stability conditions and scattering properties.

Contribution

It introduces an exact solution for localized excitations and scattering in a ferromagnetic chain with nanoclusters, including stability boundaries and analytical scattering coefficients.

Findings

Boundaries of nanocluster stability depend on size and magnetic parameters.

Explicit formulas for spin wave reflection and transmission are derived.

A model of a magnetic nanocluster metamaterial with unique dynamic properties is proposed.

Abstract

The spectrum of localized excitations in an anisotropic one-dimensional ferromagnet containing a spin cluster of arbitrary size is found exactly within the framework of the discrete Takeno-Homma model. The boundaries of stability of spin nanoclusters are determined, depending on their size, and the exchange and the anisotropy parameter of the ferromagnet. The problem of the spin waves scattering against nanoclusters is solved and explicit analytical expressions for their reflection and transmission coefficients are obtained. A model of a metamaterial consisting of weakly interacting magnetic molecular nanoclusters and possessing revealed dynamic properties is proposed.