Collective mode excitations and simulated $L$-edge resonant-inelastic x-ray scattering spectra in antiferromagnetic Ca${}_2$RuO${}_4$

Abstract

Using the three-orbital Hubbard model, we investigate the low-energy excitation spectra in the antiferromagnetic phase of Ca${}_2$RuO${}_4$. We calculate the dynamical susceptibilities in the low-energy region by the random phase approximation and find that the anisotropic dispersion of the transverse mode is in good agreement with the spectra recently reported by inelastic neutron scattering experiments. By the fast-collision approximation, we simulate the resonant inelastic x-ray scattering (RIXS) spectra of the Ru $L_3$ edge from the dynamical susceptibilities. We show that the dispersion of the transverse mode is clearly observed in the calculated RIXS spectra and that the polarization dependence of the incident x rays enables one to distinguish between the excitations of the in-plane transverse mode and out-of-plane transverse mode.

arXiv comment9 pages, 7 figures

References in corpus (36)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Colossal Magnetoresistant Materials: The Key Role of Phase Separation
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Isospin Dynamics in Sr2IrO4 : Forging Links to Cuprate Superconductivity
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
• Higgs mode and its decay in a two dimensional antiferromagnet
• Destruction of the Mott Insulating Ground State of Ca_2RuO_4 by a Structural Transition
• Nature of the Mott transition in Ca2RuO4
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• RESPACK: An ab initio tool for derivation of effective low-energy model of material
• Hallmarks of Hund's coupling in the Mott insulator Ca${}_2$RuO${}_4$
• Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet Ca${}_2$RuO${}_4$
• Effective magnetic interactions in spin-orbit coupled $d^4$ Mott insulators
• Spin-Orbit-Induced Orbital Excitations in Sr2RuO4 and Ca2RuO4: A Resonant Inelastic X-ray Scattering Study
• Observation of spin-orbit excitations and Hund's multiplets in Ca${}_2$RuO${}_4$
• Magnetic Excitations in Spin-Orbit Coupled $d^4$ Mott Insulator on Square Lattice
• Highly anisotropic magnon dispersion in Ca2RuO4: evidence for strong spin orbit coupling
• Spin-Orbital Excitations in Ca${}_2$RuO${}_4$ Revealed by Resonant Inelastic X-ray Scattering
• Magnetic Anisotropy and Orbital Ordering in Ca${}_2$RuO${}_4$
• Magnon dispersion in Ca2RuO4: impact of spin-orbit coupling and oxygen moments
• Density matrix renormalization group study of a three-orbital Hubbard model with spin-orbit coupling in one dimension
• A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation
• Excitonic Magnetism at the intersection of Spin-orbit coupling and crystal-field splitting
• Spin-Orbital Entangled Excitonic Insulators in $(t_{2g}{)}^4$ Correlated Electron Systems
• Spin-wave gap collapse in Rh-doped Sr2IrO4
• BCS-BEC crossover in a $(t_{2g}{)}^4$ Excitonic Magnet
• Robust spin and charge excitations throughout high-$T_c$-cuprate phase diagram from incipient Mottness
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Magnetic reorientation transition in a three orbital model for $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$ -- Interplay of spin-orbit coupling, tetragonal distortion, and Coulomb interactions
• Spin Dynamics and Resonant Inelastic X-ray Scattering in Chromium with Commensurate Spin-Density Wave Order
• Coupled spin-orbital fluctuations in a three orbital model for $4d$ and $5d$ oxides with electron fillings $n=3,4,5$ -- Application to $\mathrm{NaOs}{\mathrm{O}}_3$, $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$, and $\mathrm{S}{\mathrm{r}}_2\mathrm{Ir}{\mathrm{O}}_4$

Cited by in corpus (1)

• A New Era of Excitonic Insulators