Elementary excitations probed by L-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations

Abstract

We develop a formalism to calculate the L-edge resonant x-ray scattering (RIXS) spectra from transition-metal compounds. Using a multi-orbital tight-binding model, we derive useful formulas to calculate the spectra by collecting up the ladder diagrams on the basis of the Keldysh scheme, without relying on the fast collision approximation. They are feasible in the weak and intermediate coupling regimes of itinerant electron systems, where the charge and the magnetic excitations are mixed together. We examine the difference between the present formulas and those of the fast collision approximation. Finally, to demonstrate how our theory works, we employ the formulas to study the RIXS spectra on a simple model, the single-orbital Hubbard model on the square lattice at half-filling. The intensities originated from the magnon and from the continuous states are obtained on the equal footing in the antiferromagnetic ground state.

12 pages, 5 figures, Latex, to be published in Physical Review B

References in corpus (9)

• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
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• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Cu $K$-edge Resonant Inelastic X-Ray Scattering in Edge-Sharing Cuprates
• Spin and Orbital Characters of Excitations in Iron Arsenide Superconductors Revealed by Simulated Fe L-Edge RIXS
• Momentum Dependent Charge Excitations of Two-Leg Ladder: Resonant Inelastic X-ray Scattering of (La,Sr,Ca)14Cu24O41
• Analysis of resonant inelastic x-ray scattering at the $K$ edge in NiO
• Theoretical Analysis of Resonant Inelastic X-Ray Scattering Spectra in LaMnO3
• Analysis of Incident-Photon-Energy and Polarization Dependent Resonant Inelastic X-Ray Scattering from La${}_2$CuO${}_4$

Cited by in corpus (9)

• EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Magnetic excitation in resonant inelastic x-ray scattering of Sr${}_2$IrO${}_4$: A localized spin picture
• Interplay between Hund's coupling and spin-orbit interaction on elementary excitations in Sr2IrO4
• Resonant inelastic x-ray scattering on single-magnons at oxygen $K$-edges
• Orbital breathing effects in the computation of x-ray d-ion spectra in solids by ab initio wave-function-based methods
• Collective excitations in Na${}_2$IrO${}_3$
• Theoretical Study of $L$-edge Resonant Inelastic X-ray Scattering in La${}_2$CuO${}_4$ on the Basis of Detailed Electronic Band Structure
• Numerical study of resonant inelastic X-ray scattering at the oxygen $K$-edge in insulating cuprates