Theory of high-symmetry tetramer single molecule magnets

Abstract

We present a microscopic theory of single molecule magnets. From our exact single-ion spin matrix elements for four arbitrary spins, we study the single-ion anisotropy of equal spins exhibiting $T_d$, $D_{2d}$, or $C_{4v}$ molecular group symmetry. Each group generates site-dependent single-ion anisotropy. For weak anisotropy, accurate Hartree expressions for the magnetization, specific heat, electron paramagnetic resonance (EPR) absorption, and inelastic neutron scattering cross-section are given. For $D_{2d}$, azimuthal single-ion anisotropy leads to the observed Ni${}_4$ EPR splittings.

4 pages, 2 figures, submitted to Phys. Rev. Lett

References in corpus (15)

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• The First Cobalt Single-Molecule Magnet
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• Exact time correlation functions for N classical Heisenberg spins in the `squashed' equivalent neighbor model

Cited by in corpus (13)

• Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising polyhedra
• Effect of anisotropy on small magnetic clusters
• Inelastic neutron scattering study and Hubbard model description of the antiferromagnetic tetrahedral molecule Ni4Mo12
• Magnetic and neutron spectroscopic properties of the tetrameric nickel compound $[M{o}_{12}{O}_{28}({\mu }_2-OH{)}_9({\mu }_3-OH{)}_3{Ni(H_{2}O{)}_3}_4]$\cdot$13H_{2}O$
• Evolution of the thermodynamic properties and inelastic neutron scattering intensities for spin-1/2 antiferromagnetic quantum rings
• Magnetization steps in the molecular magnet Ni${}_4$Mo${}_{12}$ revealed by complex exchange bridges
• Magnetic excitations in molecular magnets with complex bridges: The tetrahedral molecule Ni${}_4$Mo${}_{12}$
• Ground States of Heisenberg Spin Clusters from Projected Hartree-Fock Theory
• Symmetry-Induced Universal Momentum-Transfer Dependencies for Inelastic Neutron Scattering on Anisotropic Spin Clusters
• Simultaneous Spin and Point-Group Adaptation in Exact Diagonalization of Spin Clusters
• Analytical solutions of symmetric isotropic spin clusters
• A systematic approach to determine the spectral characteristics of molecular magnets
• Effect of Single-ion Anisotropy on Magnetocaloric Properties of Frustrated Spin-$s$ Ising Nanoclusters