Resonant inelastic x-ray scattering operators for $t_{2g}$ orbital systems

Abstract

We derive general expressions for resonant inelastic x-ray scattering (RIXS) operators for $t_{2g}$ orbital systems, which exhibit a rich array of unconventional magnetism arising from unquenched orbital moments. Within the fast collision approximation, which is valid especially for 4$d$ and 5$d$ transition metal compounds with short core-hole lifetimes, the RIXS operators are expressed in terms of total spin and orbital angular momenta of the constituent ions. We then map these operators onto pseudospins that represent spin-orbit entangled magnetic moments in systems with strong spin-orbit coupling. Applications of our theory to such systems as iridates and ruthenates are discussed, with a particular focus on compounds based on $d^4$ ions with Van Vleck-type nonmagnetic ground state.

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Cited by in corpus (24)

• Square Lattice Iridates
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Observation of spin-orbit excitations and Hund's multiplets in Ca${}_2$RuO${}_4$
• Spin-orbit-controlled metal-insulator transition in Sr${}_2$IrO${}_4$
• EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering
• Spin-Orbital Excitations in Ca${}_2$RuO${}_4$ Revealed by Resonant Inelastic X-ray Scattering
• Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective
• Spin waves and spin-state transitions in a ruthenate high-temperature antiferromagnet
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Orbital and spin order in spin-orbit coupled $d^1$ and $d^2$ double perovskites
• Hopping induced ground-state magnetism in 6H perovskite iridates
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Evolution of the magnetic excitations in NaOsO${}_3$ through its metal-insulator transition
• Direct detection of dimer orbitals in Ba${}_5$AlIr${}_2$O${}_{11}$
• Tree tensor-network real-time multiorbital impurity solver: Spin-orbit coupling and correlation functions in Sr${}_2$RuO${}_4$
• Dynamics of a j=3/2 quantum spin liquid
• Crossover from itinerant to localized magnetic excitations through the metal-insulator transition in NaOsO${}_{\text{3}}$
• Momentum-independent magnetic excitation continuum in the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$
• Hidden orders in spin-orbit entangled correlated insulators
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• $J=1/2$ Pseudospins and $d$-$p$ Hybridization in the Kitaev Spin Liquid Candidates Ru$X_3$ ($X$ = Cl, Br, I)
• Spin-orbit excitons and electronic configuration of the $5d^4$ insulator Sr${}_3$Ir${}_2$O${}_7$F${}_2$
• Persistent quantum vibronic dynamics in a $5d^1$ double perovskite oxide
• Resonant inelastic X-ray scattering in the topological semimetal FeSi