2018/12/20 by A. Roxburgh, J. T. Haraldsen
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Electron #Ferromagnetism #Hamiltonian (control theory) #Heisenberg model #Magnetism in coordination complexes #Mathematics #Neutron scattering #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum spin liquid #Scattering #Spin (aerodynamics) #Spin engineering #Spin polarization #Spin quantum number #Spin wave #Thermodynamics #cond-mat.mtrl-sci #cond-mat.other #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.98.214434
published as Physical Review B 98, 214434 (2018) · 12 pages, 7 figures
openalex publication_date 2018/12/20 · arxiv created 2018/12/25 · arxiv updated 2019/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this study, we examine the thermodynamics and spin dynamics of spin-1/2 and spin-3/2 heptamers. Through an exact diagonalization of the isotropic Heisenberg Hamiltonian, we find the closed-form, analytical representations for thermodynamic properties, spin excitations, and neutron-scattering structure factors. Furthermore, we investigate the clusterlike excitations of quantum spin heptamer in the three-dimensional pyrochlore lattice material MgCr2O4. Using a spin mapping of the spin-1/2 heptamer excitations, the calculated structure factors of the spin-3/2 heptamer are to be determined, which provides clarification for the spin excitations in MgCr2O4. Overall, this study demonstrates the ability to use the spin mapping of structure factors for small spin systems to analyze more complex structures.