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, cuboctahedron, tetrahedron and square geometry 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 numerical exact diagonalization technique in order 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 a function of temperature and magnetic field.

12 pages, 12 figures, 3 tables

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• Topological magnetic textures and long-range orders in Tb-based quasicrystal and approximant
• Interpolation between low and high temperatures of the specific heat for spin systems
• Magnetism and topology in Tb-based icosahedral quasicrystal
• Zero-temperature magnetic response of small fullerene molecules at the classical and full quantum limit
• Classical and Quantum Magnetic Ground States on an Icosahedral Cluster
• Monte Carlo study on critical exponents of the classical Heisenberg model in ferromagnetic icosahedral quasicrystal
• Discontinuous quantum and classical magnetic response of the pentakis dodecahedron
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• Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property
• Influence of the biquadratic exchange interaction in the classical ground state magnetic response of the antiferromagnetic icosahedron
• Non-Collinear and Non-Coplanar Magnetic Orders in 1/1 Periodic Approximant to the Icosahedral Quasicrystal
• Magnetism and topological property in icosahedral quasicrystal
• Effect of Single-ion Anisotropy on Magnetocaloric Properties of Frustrated Spin-$s$ Ising Nanoclusters