Frustration effects in magnetic molecules

Abstract

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the arrangement of magnetic atoms in the magnetic molecules Cu12La8 and Mo72Fe30. The interplay of strong quantum fluctuations and frustration influences the ground state spin correlations drastically and leads to an interesting magnetization process at low temperatures. Furthermore the frustration yields low-lying non-magnetic excitations resulting in an extra low-temperature peak in the specific heat.

4 pages, 7 figures

References in corpus (9)

• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Rotational modes in molecular magnets with antiferromagnetic Heisenberg exchange
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Finite low-temperature entropy of some strongly frustrated quantum spin lattices in the vicinity of the saturation field
• Elementary excitations in the cyclic molecular nanomagnet Cr8
• Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
• Quantum numbers for relative ground states of antiferromagnetic Heisenberg spin rings
• Quantum Theory of Molecular Magnetism

Cited by in corpus (32)

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• Enhanced magnetocaloric effect in frustrated magnetic molecules with icosahedral symmetry
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Quantum Magnetism in Minerals
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Calculating the energy spectra of magnetic molecules: application of real- and spin-space symmetries
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Numerically exact and approximate determination of energy eigenvalues for antiferromagnetic molecules using irreducible tensor operators and general point-group symmetries
• 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
• Cuboctahedric Higgs oscillator from the Calogero model
• Thermodynamic and magnetocaloric properties of geometrically frustrated Ising nanoclusters
• Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
• E-band excitations in the magnetic Keplerate molecule Fe30
• Interpolation between low and high temperatures of the specific heat for spin systems
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Exact solution of a spin-1/2 $XX$ chain with three-site interactions in a random transverse field: Influence of randomness on quantum phase transition
• The sawtooth chain: From Heisenberg spins to Hubbard electrons
• Frustration effects in antiferromagnetic molecules: the cuboctahedron
• Magneto-thermal properties of the spin-s Heisenberg antiferromagnet on the cuboctahedron
• A correlator product state study of molecular magnetism in the giant Keplerate Mo72Fe30
• Magnetization process and magnetocaloric effect of the spin-1/2 XXZ Heisenberg cuboctahedron
• Inelastic neutron scattering study and Hubbard model description of the antiferromagnetic tetrahedral molecule Ni4Mo12
• Finite-size scaling of typicality-based estimates
• Frustration-induced exotic properties of magnetic molecules
• Magnetization distribution in a spin ladder-shaped quantum nanomagnet
• Evidence of Low-Energy Singlet Excited States in the Spin-1/2 Polyhedral Clusters {Mo${}_{72}$V${}_{30}$} and {W${}_{72}$V${}_{30}$} with Strongly Frustrated Kagomé Networks
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Entropic selection of magnetization in a frustrated 2D magnetic model