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Normal Modes in a Linear Chain of Nanomagnets

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EN
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.
EN
X-ray powder diffraction (XRD) and magnetic measurements were performed in order to investigate the effect of Na+ ion substitution for Ca2+ ions on the crystallographic structure, the character of magnetic ordering, and the effect of transition temperature in La0.7Ca0.3−x NaxMnO3 manganites series (0 ⩽ × ⩽ 0.2). All samples crystallise in an orthorhombic structure with the Pnma space group. We have found a strong dependence of structural and magnetic properties on the cation-size disorder parameter σ 2. The temperature dependence of magnetization of all samples obeys the Bloch T 3/2 law. The values of the spin wave constant at low temperature B increase with the increase of x and the Curie temperature decreases. It is concluded that the substitution of Ca by Na+ ions causes a decrease in total exchange integral Aof the samples.
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