Zeeman interaction and Jahn-Teller effect in ${\Gamma }_8$ multiplet

Abstract

We present a thorough analysis of the interplay of magnetic moment and the Jahn-Teller effect in the ${\Gamma }_8$ cubic multiplet. We find that in the presence of dynamical Jahn-Teller effect, the Zeeman interaction remains isotropic, whereas the $g$ and $G$ factors can change their signs. The static Jahn-Teller distortion also can change the sign of these $g$ factors as well as the nature of the magnetic anisotropy. Combining the theory with state-of-the-art {\it ab initio} calculations, we analyzed the magnetic properties of Np${}^{4+}$ and Ir${}^{4+}$ impurity ions in cubic environment. The calculated $g$ factors of Np${}^{4+}$ impurity agree well with experimental data. The {\it ab initio} calculation predicts strong Jahn-Teller effect in Ir${}^{4+}$ ion in cubic environment and the strong vibronic reduction of $g$ and $G$ factors.

12 pages, 8 figures, minor correction

References in corpus (4)

• Ferromagnetism in the Mott insulator Ba2NaOsO6
• Orbital reconstruction in nonpolar tetravalent transition-metal oxide layers
• Anisotropic interactions opposing magnetocrystalline anisotropy in Sr${}_3$NiIrO${}_6$
• Influence of static Jahn-Teller distortion on the magnetic excitation spectrum of PrO2: A synchrotron x-ray and neutron inelastic scattering study

Cited by in corpus (9)

• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Spin-orbital-lattice entangled states in cubic $d^1$ double perovskites
• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Vibronic excitations in resonant inelastic x-ray scattering spectra of K${}_2$RuCl${}_6$
• $\tilde{J}$-pseudospin states and the crystal field of cubic systems
• Vibronic effect on resonant inelastic x-ray scattering in cubic iridium hexahalides
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Yb${}^{3+}$ $f$-$f$ excitations in NaYbSe${}_2$: benchmarking embedded-cluster quantum chemical schemes for 4$f$ insulators
• Coupled-cluster approach to vibronic effects in resonant inelastic x-ray scattering of quantum materials: Application to a $5d^1$ rhenium oxide