Thermodynamics and spin mapping of quantum excitations in a Heisenberg spin heptamer

Abstract

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 {cluster-like excitations of quantum spin heptamer} in the three-dimensional pyrochlore lattice material MgCr${}_2$O${}_4$. Using a spin mapping of the spin-1/2 heptamer excitations, the calculated structure factors of the spin-3/2 heptamer are be determined, which provides clarification for the spin excitations in MgCr${}_2$O${}_4$. Overall, this study demonstrates the ability to use the spin mapping of structure factors for small spin systems to analyze more complex structures.

12 pages, 7 figures

References in corpus (7)

• Operating Quantum States in Single Magnetic Molecules: Implementation of Grover's Quantum Algorithm
• Molecular spin resonance in the geometrically frustrated MgCr2O4 magnet by inelastic neutron scattering
• Magnetic Exchange Interactions in the Molecular Nanomagnet Mn${}_{12}$
• E-band excitations in the magnetic Keplerate molecule Fe30
• Generalization of polarized spin excitations for asymmetric dimeric systems
• Exchange constants in molecule-based magnets derived from density functional methods
• Spin-lattice order in frustrated ZnCr2O4

Cited by in corpus (1)

• Magnetocaloric properties of V6 molecular magnet