New light on magnetic excitations: indirect resonant inelastic X-ray scattering on magnons

Abstract

Recent experiments show that indirect resonant inelastic X-ray scattering (RIXS) is a new probe of spin dynamics. Here I derive the cross-section for magnetic RIXS and determine the momentum dependent four-spin correlation function that it measures. These results show that this technique offers information on spin dynamics that is complementary to e.g. neutron scattering. The RIXS spectrum of Heisenberg antiferromagnets is calculated. It turns out that only scattering processes that involve at least two magnons are allowed. Other selection rules imply that the scattering intensity vanishes for specific transferred momenta $\mathbf{q}$, in particular for $\mathbf{q}=0$. The calculated spectra agree very well with the experimental data.

4 pages, 3 figures

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Cited by in corpus (45)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Resonant X-rays at the Cu L-edge as a momentum dependent probe of the magnetic excitation spectrum in cuprates
• Determining the Electron-Phonon Coupling Strength in Correlated Electron Systems from Resonant Inelastic X-ray Scattering
• Insights into the High Temperature Superconducting Cuprates from Resonant Inelastic X-ray Scattering
• Probing light-driven quantum materials with ultrafast resonant inelastic X-ray scattering
• Bimagnon studies in cuprates with Resonant Inelastic X-ray Scattering at the O K edge. I - An assessment on La2CuO4 and a comparison with the excitation at Cu L3 and Cu K edges
• Magnetic Excitations in La2CuO4 probed by Indirect Resonant Inelastic X-ray Scattering
• Momentum dependence of orbital excitations in Mott-insulating titanates
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Unraveling the Nature of Charge Excitations in La${}_2$CuO${}_4$ with Momentum-Resolved Cu $K$-edge Resonant Inelastic X-ray Scattering
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Magnetic nature of the 500 meV peak in $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$ observed with resonant inelastic x-ray scattering at the Cu $K$-edge
• Observation of phonons with resonant inelastic x-ray scattering
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from cuprate compounds
• Time-Resolved Resonant Inelastic X-Ray Scattering in a Pumped Mott Insulator
• Doping dependence of magnetic excitations of 1D cuprates as probed by Resonant Inelastic x-ray Scattering
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Proposal for detecting spin-chirality terms in Mott insulators via resonant inelastic x-ray scattering
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from one-dimensional cuprates
• Signatures of indirect K-edge resonant inelastic x-ray scattering on magnetic excitations in triangular lattice antiferromagnet
• Controlling core-hole lifetime through an x-ray planar cavity
• Theory of Raman and Resonant Inelastic X-ray Scattering from Collective Orbital Excitations in YTiO${}_3$
• Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering
• Antiphase Oscillations in the Time-Resolved Spin Structure Factor of a Photoexcited Mott Insulator
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Magnon-phonon coupling effects on the indirect K-edge resonant inelastic X-ray scattering spectrum of a 2D Heisenberg antiferromagnet
• Elementary excitations probed by L-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations
• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Resonant inelastic x-ray scattering on single-magnons at oxygen $K$-edges
• Theory of L-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladder
• Depth-resolved resonant inelastic x-ray scattering at a superconductor/half-metallic ferromagnet interface through standing-wave excitation
• Torque equilibrium spin wave theory study of anisotropy and Dzyaloshinskii-Moriya interaction effects on the indirect K$-$ edge RIXS spectrum of a triangular lattice antiferromagnet
• Superconducting pairing in resonant inelastic X-ray scattering
• Two-magnon excitations in resonant inelastic x-ray scattering studied by spin-density-wave formalism
• Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-$\frac{1}{2}$ antiferromagnetic Heisenberg trimer chain
• Indirect K-edge bimagnon resonant inelastic X-ray scattering spectrum of $\alpha$-FeTe
• Signatures of multiple charge excitations in RIXS spectra of metals
• Detecting Crystallographic Lattice Chirality using Resonant Inelastic X-ray Scattering
• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
• Accelerating Resonant Spectroscopy Simulations Using Multi-Shifted Bi-Conjugate Gradient
• Hamiltonian parameter inference from resonant inelastic x-ray scattering with active learning
• Dispersing bimagnons and doping induced bimagnon-charge modes in superconducting cuprates