Effect of anisotropy on small magnetic clusters

Abstract

The effect of dipolar interaction and local uniaxial anisotropy on the magnetic response of small spin clusters where spins are located on the vertices of icosahedron (${I}_{h}$), cuboctahedron (${O}_{h}$), tetrahedron (${T}_{h}$), and square (${D}_{4}$) geometries have been investigated. We consider the ferromagnetic and antiferromagnetic spin-$1/2$ and spin-1 Heisenberg model with uniaxial anisotropy and dipolar interaction and apply a numerical exact diagonalization technique to study the influence of frustration and anisotropy on the ground-state properties of the spin clusters. The ground-state magnetization, spin-spin correlation, and several thermodynamic quantities such as entropy and specific heat are calculated as functions of temperature and magnetic field.