Frustration effects in antiferromagnetic molecules: the cuboctahedron

Abstract

Frustration of magnetic systems which is caused by competing interactions is the driving force of several unusual phenomena such as plateaus and jumps of the magnetization curve as well as of unusual energy spectra with for instance many singlet levels below the first triplet state. The antiferromagnetic cuboctahedron can serve as a paradigmatic example of certain frustrated antiferromagnets. In addition it has the advantage that its complete energy spectrum can be obtained up to individual spin quantum numbers of s=3/2 (16,777,216 states).

8 pages, 17 figures, accepted for publication in Polyhedron, proceedings of the ICMM 2008 in Florence

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Cited by in corpus (17)

• Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Quantum Magnetism in Minerals
• Calculating the energy spectra of magnetic molecules: application of real- and spin-space symmetries
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising polyhedra
• Enhanced magnetocaloric effect in a proximity of magnetization steps and jumps of spin-1/2 XXZ Heisenberg regular polyhedra
• The Schottky-type specific heat as an indicator of relative degeneracy between ground and first-excited states: the case study of regular Ising polyhedra
• Thermodynamic and magnetocaloric properties of geometrically frustrated Ising nanoclusters
• Interpolation between low and high temperatures of the specific heat for spin systems
• Magnetization process and magnetocaloric effect of the spin-1/2 XXZ Heisenberg cuboctahedron
• Advanced quantum methods for the largest magnetic molecules
• Approximate eigenvalue determination of geometrically frustrated magnetic molecules
• Finite-size scaling of typicality-based estimates
• Symmetry-Induced Universal Momentum-Transfer Dependencies for Inelastic Neutron Scattering on Anisotropic Spin Clusters
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Entropic selection of magnetization in a frustrated 2D magnetic model