Rotational modes in molecular magnets with antiferromagnetic Heisenberg exchange
arXiv:cond-mat/0009330 · doi:10.1103/PhysRevB.63.014418
Abstract
In an effort to understand the low temperature behavior of recently synthesized molecular magnets we present numerical evidence for the existence of a rotational band in systems of quantum spins interacting with nearest-neighbor antiferromagnetic Heisenberg exchange. While this result has previously been noted for ring arrays with an even number of spin sites, we find that it also applies for rings with an odd number of sites as well as for all of the polytope configurations we have investigated (tetrahedron, cube, octahedron, icosahedron, triangular prism, and axially truncated icosahedron). It is demonstrated how the rotational band levels can in many cases be accurately predicted using the underlying sublattice structure of the spin array. We illustrate how the characteristics of the rotational band can provide valuable estimates for the low temperature magnetic susceptibility.
14 pages, 7 figures, to be published in Phys. Rev. B
References in corpus (1)
Cited by in corpus (44)
- Molecular engineering of antiferromagnetic rings for quantum computation
- Magnetothermal properties of molecule-based materials
- Magnetic Cluster Excitations
- Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today
- Spin dynamics of molecular nanomagnets fully unraveled by four-dimensional inelastic neutron scattering
- Enhanced magnetocaloric effect in frustrated magnetic molecules with icosahedral symmetry
- Spin dynamics of heterometallic Cr7M wheels (M = Mn, Zn, Ni) probed by inelastic neutron scattering
- Elementary excitations in the cyclic molecular nanomagnet Cr8
- Calculating the energy spectra of magnetic molecules: application of real- and spin-space symmetries
- Quantum rotational band model for the Heisenberg molecular magnet Mo72Fe30
- Thermodynamics and Spin Tunneling Dynamics in Ferric Wheels with Excess Spin
- Numerically exact and approximate determination of energy eigenvalues for antiferromagnetic molecules using irreducible tensor operators and general point-group symmetries
- Q-dependence of the inelastic neutron scattering cross section for molecular spin clusters with high molecular symmetry
- Frustration effects in magnetic molecules
- The even-odd effect in short antiferromagnetic Heisenberg chains
- Discrete antiferromagnetic spin-wave excitations in the giant ferric wheel Fe18
- Observation of field-dependent magnetic parameters in the magnetic molecule {Ni4Mo12}
- Low temperature magnetization and the excitation spectrum of antiferromagnetic Heisenberg spin rings
- Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
- Linear energy bounds for Heisenberg spin systems
- Quantized antiferromagnetic spin waves in the molecular Heisenberg ring CsFe
- E-band excitations in the magnetic Keplerate molecule Fe30
- Quantum Theory of Molecular Magnetism
- Quantum dynamics of the Neel vector in the antiferromagnetic molecular wheel CsFe8
- Effect of anisotropy on small magnetic clusters
- Probing molecular spin clusters by local measurements
- Sampling the two-dimensional density of states g(E,M) of a giant magnetic molecule using the Wang-Landau method
- Unravelling the Spin Dynamics of Molecular Nanomagnets with Four-Dimensional Inelastic Neutron Scattering
- Advanced quantum methods for the largest magnetic molecules
- Standing Spin Waves in an Antiferromagnetic Molecular Cr6 Horseshoe
- Bounding and approximating parabolas for the spectrum of Heisenberg spin systems
- Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions
- Field-induced level crossings in spin clusters: Thermodynamics and magneto-elastic instability
- Theory of severe slowdown in the relaxation of rings and clusters with antiferromagnetic interactions
- VBS State Induced by Impurity Frustration in Cr8Ni
- Theoretical estimates for proton-NMR spin-lattice relaxation rates of heterometallic spin rings
- Frustration effects in magnetic molecules
- Ground States of Heisenberg Spin Clusters from Projected Hartree-Fock Theory
- Antiferromagnetic molecular nanomagnets with odd-numbered coupled spins
- The quantum spin quadrumer
- Spin dynamics in molecular ring nanomagnets: Significant effect of acoustic phonons and magnetic anisotropies
- Approximating parabolas as natural bounds of Heisenberg spectra: Reply on the comment of O. Waldmann
- Systematic determination of coupling constants in spin clusters from broken-symmetry mean-field solutions
- Heisenberg spin chains with additional isotropic three-site exchange interactions