Heisenberg Dimer Single Molecule Magnets in a Strong Magnetic Field

Abstract

We calculate the static and dynamic properties of single crystal, single molecule magnets consisting of equal spin $S=1/2$ or 5/2 dimers. The spins in each dimer interact with each other via the Heisenberg exchange interaction and with the magnetic induction $\mathbf{B}$ via the Zeeman interaction, and interdimer interactions are negligible. For antiferromagnetic couplings, the static magnetization and specific heat exhibit interesting low temperature $T$ and strong $\mathbf{B}$ quantum effects. We calculate the frequency spectrum of the Fourier transform of the real part of the time autocorrelation function ${\mathcal{C}}_{11}(t)$ for arbitrary $T,\mathbf{B}$, and compare our results with those obtained for classical spins. We also calculate the inelastic neutron magnetic dynamical structure factor $S(\mathbf{q},\omega )$ at arbitrary $T,\mathbf{B}$.

11 pages, 14 figures, submitted to Phys. Rev. B

References in corpus (2)

• Zero-field Time Correlation Functions of Four Classical Heisenberg Spins on a Ring
• Exact Time Autocorrelation Function of the N-Spin Classical Heisenberg Equivalent Neighbor Model

Cited by in corpus (13)

• Neutron Scattering and Magnetic Observables for S = 1/2 Molecular Magnets
• Single-ion and exchange anisotropy effects and multiferroic behavior in high-symmetry tetramer single molecule magnets
• Theory of high-symmetry tetramer single molecule magnets
• Spin anisotropy effects in dimer single molecule magnets
• Time Correlation Functions of Three Classical Heisenberg Spins on an Isosceles Triangle and on a Chain: Strong Effects of Broken Symmetry
• Field-induced level crossings in spin clusters: Thermodynamics and magneto-elastic instability
• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Generalization of polarized spin excitations for asymmetric dimeric systems
• Effect of dipolar interactions on the magnetization of a cubic array of nanomagnets
• Spin dynamics from a constrained magnetic Tight-Binding model
• Thermodynamics and spin mapping of quantum excitations in a Heisenberg spin heptamer
• Nonlinear Bogolyubov-Valatin transformations: 2 modes
• Exact time correlation functions for N classical Heisenberg spins in the `squashed' equivalent neighbor model