Normal Modes in a Linear Chain of Nanomagnets

The dynamics of magnetization in low-dimensional systems of micromagnets has been a very interesting subject of scientific studies last years. Excitations in such systems may have forms of normal modes. The frequency of the mode can be determined with the use of analytical methods as well as of micromagnetic numerical techniques. One of the latter is the Hamiltonian dynamical matrix method. The method is an analogue of that used to determine oscillations of atoms in crystal. The advantage of it is the possibility of calculating both of all frequencies and profiles of normal modes. Excitations in a finite system can depend on the size of it, as was noticed by experimentalists. The aim of this study is an analysis of eigenstates of the chain consisting of finite numbers of nanomagnets and dependence of states on orientation of magnetic moments and external magnetic field