Effect of anisotropy on small magnetic clusters

TL;DR

This paper investigates how dipolar interactions and local uniaxial anisotropy influence the magnetic properties of small spin clusters with various geometries using exact diagonalization.

Contribution

It introduces a detailed numerical analysis of the combined effects of frustration, anisotropy, and dipolar interactions on small magnetic clusters with different geometries.

Findings

Ground state magnetization varies with anisotropy and dipolar interaction.

Spin-spin correlations are significantly affected by frustration.

Thermodynamic quantities like entropy and specific heat show distinct temperature dependencies.

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.