Resonant X-ray scattering and the $j_{\mathrm{eff}}=1/2$ electronic ground state in iridate perovskites

Abstract

The resonant X-ray scattering (magnetic elastic, RXMS, and inelastic, RIXS) of Ir${}^{4+}$ at the L${}_{2,3}$ edges relevant to spin-orbit Mott insulators A${}_{n+1}$Ir${}_n$O${}_{3n+1}$ (A=Sr, Ba, etc.) are calculated using a single-ion model which treats the spin-orbit and tetragonal crystal-field terms on an equal footing. Both RXMS and RIXS in the spin-flip channel are found to display a non-trivial dependence on the direction of the magnetic moment, $\mathbf{\mu }$. Crucially, we show that for $\mathbf{\mu }$ in the \emph{ab}-plane, RXMS at the L${}_2$ edge is zero \emph{irrespective} of the tetragonal crystal-field; spin-flip RIXS, relevant to measurements of magnons, behaves reciprocally being zero at L${}_2$ when $\mathbf{\mu }$ is perpendicular to the \emph{ab}-plane. Our results provide important insights into the interpretation of X-ray data from the iridates, including that a $j_{\mathrm{eff}}=1/2$ ground state cannot be assigned on the basis of L${}_2$/L${}_3$ intensity ratio alone.

5 pages, 3 figures

References in corpus (20)

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• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Bandwidth-Controlled Insulator-Metal Transition and Correlated Metallic State in 5$d$ Transition Metal Oxides Sr${}_{n+1}$Ir${}_n$O${}_{3n+1}$ ($n$=1, 2, and $\infty$)
• Isospin Dynamics in Sr2IrO4 : Forging Links to Cuprate Superconductivity
• Twisted Hubbard Model for Sr2IrO4: Magnetism and Possible High Temperature Superconductivity
• Crystal field splitting and correlation effect on the electronic structure of A2IrO3
• Microscopic study of spin-orbit-induced Mott insulator in Ir oxides
• Two-dimensional Heisenberg behavior of Jeff = 1/2 isospins in the paramagnetic state of spin-orbital Mott insulator Sr2IrO4
• Giant Magnon Gap in Bilayer Iridate Sr3Ir2O7: Enhanced Pseudo-dipolar Interactions Near the Mott Transition
• Dimensionality Driven Spin-Flop Transition in Layered Iridates
• Robustness of basal-plane antiferromagnetic order and the $J_{eff}=1/2$ state in single-layer iridate spin-orbit Mott insulators
• Testing the validity of the strong spin-orbit-coupling limit for octahedrally coordinated iridates in a model system Sr${}_3$CuIrO${}_6$
• Tuning electronic structures via epitaxial strain in Sr2IrO4 thin films
• Electronic structures of layered perovskite Sr2MO4 (M=Ru, Rh, and Ir)
• Antiferromagnetic order and domains in Sr3Ir2O7 probed by x-ray resonant scattering
• Epitaxy-distorted spin-orbit Mott insulator in Sr2IrO4 thin films
• Weak antiferromagnetism of J_eff=1/2 band in bilayer iridate Sr3Ir2O7
• CaIrO3 post-perovskite, a j = 1/2 quasi-one-dimensional antiferromagnet
• Magnetic structural change of Sr2IrO4 upon Mn doping
• On the magnetic structure of Sr3Ir2O7: an x-ray resonant scattering study

Cited by in corpus (53)

• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• Slaving of the magnetic moment canting to the correlated oxygen rotation in Sr2IrO4 revealed by X-ray resonant scattering
• Square Lattice Iridates
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• A structural distortion induced magneto-elastic locking in Sr${}_2$IrO${}_4$ revealed through nonlinear optical harmonic generation
• Dilute Magnetism and Spin-Orbital Percolation Effects in Rh-doped Sr2IrO4
• CaIrO3: a Spin-Orbit Mott Insulator Beyond the jeff = 1/2 Ground State
• Tuning Magnetic Coupling in Sr${}_2$IrO${}_4$ Thin Films with Epitaxial Strain
• Spin-orbit entangled j=1/2 moments in Ba${}_2$CeIrO${}_6$ -- a frustrated fcc quantum magnet
• Spin-Orbit-Induced Orbital Excitations in Sr2RuO4 and Ca2RuO4: A Resonant Inelastic X-ray Scattering Study
• Evidence of quantum dimer excitations in Sr${}_3$Ir${}_2$O${}_7$
• First-order melting of a weak spin-orbit Mott insulator into a correlated metal
• Spin-orbit-controlled metal-insulator transition in Sr${}_2$IrO${}_4$
• The importance of XY anisotropy in Sr2IrO4 revealed by magnetic critical scattering experiments
• Pressure-Induced Confined Metal from the Mott Insulator Sr3Ir2O7
• Orbital occupancies and the putative jeff = 1/2 groundstate in Ba2IrO4: a combined oxygen K edge XAS and RIXS study
• A weakly correlated Fermi liquid state with a small Fermi surface in lightly doped Sr${}_3$Ir${}_2$O${}_7$
• Revisiting the Kitaev material candidacy of Ir4+ double perovskite iridates
• Evolution of competing magnetic order in the Jeff=1/2 insulating state of Sr2Ir1-xRuxO4
• Resonant inelastic x-ray scattering operators for $t_{2g}$ orbital systems
• First-Principles Calculation of Spin and Orbital Contributions to Magnetically Ordered Moments in Sr${}_2$IrO${}_4$
• Strongly Gapped Spin-Wave Excitation in the Insulating Phase of NaOsO3
• The magnetic ground state of Sr2IrO4 and implications for second-harmonic generation
• Jeff=1/2 Mott spin-orbit insulating state close to the cubic limit in Ca4IrO6
• Structural, electronic, and magnetic properties of nearly-ideal $J_{\mathrm{eff}}$ $=$ 1/2 iridium halides
• Substrate-tuning of correlated spin-orbit oxides
• Crystal field splitting in Sr${}_{n+1}$Ir${}_n$O${}_{3n+1}$ ($n$ = 1, 2) iridates probed by x-ray Raman spectroscopy
• Anisotropic interactions opposing magnetocrystalline anisotropy in Sr${}_3$NiIrO${}_6$
• Disordered dimer state in electron-doped Sr${}_3$Ir${}_2$O${}_7$
• Possibility to realize spin-orbit-induced correlated physics in iridium fluorides
• High-pressure insulator-to-metal transition in Sr${}_3$Ir${}_2$O${}_7$ studied by x-ray absorption spectroscopy
• Magnetization density distribution of Sr${}_2$IrO${}_4$: Deviation from a local $j_{\text{eff}}=1/2$ picture
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Tuning of the Ru${}^{4+}$ ground-state orbital population in the $4{\mathbf{d}}^4$ Mott insulator Ca${}_2$RuO${}_4$ achieved by La doping
• Persistence of antiferromagnetic order upon La substitution in the $4d^4$ Mott insulator Ca${}_2$RuO${}_4$
• Direct observation of electron density reconstruction at the metal-insulator transition in NaOsO3
• Thermal conductivity of local moment models with strong spin-orbit coupling
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Calculating branching ratio and spin-orbit coupling from first-principles: A formalism and its application to iridates
• Energy scales in 4f1 delafossite magnets: crystal-field splittings larger than the strength of spin-orbit coupling in KCeO2
• Resonant inelastic x-ray scattering of magnetic excitations under pressure
• Superexchange interactions between spin-orbit-coupled $j\approx 1/2$ ions in oxides with face-sharing ligand octahedra
• Direct observation of oxygen polarization in Sr${}_2$IrO${}_4$ by O $K$-edge x-ray magnetic circular dichroism
• Mott insulator-to-metal transition in yttrium-doped CaIrO3
• Emergent interlayer magnetic order via strain-induced orthorhombic distortion in the 5d Mott insulator Sr2IrO4
• On the electronic ground state of two non-magnetic pentavalent honeycomb iridates
• Precise control of $J_{\mathrm{eff}}=1/2$ magnetic properties in Sr${}_2$IrO${}_4$ epitaxial thin films by variation of strain and thin film thickness
• Spin-orbital-lattice entanglement in the ideal j=1/2 compound K${}_2$IrCl${}_6$
• Charge ordering in Ir dimers in the ground state of Ba${}_5$AlIr${}_2$O${}_{11}$
• Crystal-field effects competing with spin-orbit interactions in NaCeO${}_2$
• Quasimolecular electronic structure of the trimer iridate Ba${}_4$NbIr${}_3$O${}_{12}$
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Melting of magnetic order in ${\mathrm{NaOsO}}_3$ by fs laser pulses