Uncovering selective excitations using the resonant profile of indirect inelastic x-ray scattering in correlated materials: Observing two-magnon scattering and relation to the dynamical structure factor

Abstract

Resonant inelastic x-ray scattering (RIXS) is a spectroscopic technique which has been widely used to study various elementary excitations in correlated and other condensed matter systems. For strongly correlated materials, besides boosting the overall signal the dependence of the resonant profile on incident photon energy is still not fully understood. Previous endeavors in connecting indirect RIXS, such as Cu K-edge for example where scattering takes place only via the core-hole created as an intermediate state, with the charge dynamical structure factor S(q,ω) neglected complicated dependence on the intermediate state configuration. To resolve this issue, we performed an exact diagonalization study of the RIXS cross-section using the single-band Hubbard model by fully addressing the intermediate state contribution. Our results are relevant to indirect RIXS in correlated materials, such as high Tc cuprates. We demonstrate that RIXS spectra can be reduced to S(q,ω) when there is no screening channel for the core-hole potential in the intermediate state. We also show that two-magnon excitations are highlighted at the resonant photon energy when the core-hole potential in the corresponding intermediate state is poorly screened. Our results demonstrate that different elementary excitations can be emphasized at different intermediate states, such that selecting the exact incident energy is critical when trying to capture a particular elementary excitation.

11 pages, 3 figures

References in corpus (9)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Inelastic Light Scattering From Correlated Electrons
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
• Ultrashort Lifetime Expansion for Indirect Resonant Inelastic X-ray Scattering
• Unraveling the Nature of Charge Excitations in La${}_2$CuO${}_4$ with Momentum-Resolved Cu $K$-edge Resonant Inelastic X-ray Scattering
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Resonant Two-Magnon Raman Scattering and Photoexcited States in Two-Dimensional Mott Insulators
• Momentum dependent light scattering in insulating cuprates

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• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
• Theory for Time-Resolved Resonant Inelastic X-ray Scattering
• EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering
• Doping Evolution of Oxygen K-edge X-ray Absorption Spectra in Cuprate Superconductors
• Raman and fluorescence characteristics of resonant inelastic X-ray scattering from doped superconducting cuprates
• Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
• Time-Resolved Resonant Inelastic X-Ray Scattering in a Pumped Mott Insulator
• Collective modes in the paramagnetic phase of the Hubbard model
• Evolution of plasmon excitations across the phase diagram of the cuprate superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
• Signatures of indirect K-edge resonant inelastic x-ray scattering on magnetic excitations in triangular lattice antiferromagnet
• Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering
• Measurement of the spectral line shapes for orbital excitations in the Mott insulator CoO using high-resolution resonant inelastic x-ray scattering
• Resonant inelastic X-ray scattering study of intra-band charge excitations in hole-doped high-Tc cuprates
• Magnon-phonon coupling effects on the indirect K-edge resonant inelastic X-ray scattering spectrum of a 2D Heisenberg antiferromagnet
• Experimental signatures of phase interference and sub-femtosecond time dynamics on the incident energy axis of resonant inelastic X-ray scattering
• Post-growth annealing effects on charge and spin excitations in Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• A Wannier orbital based method for resonant inelastic x-ray scattering simulation
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Observation of spin-conserving two-spinon continuum in the $S$=1/2 antiferromagnetic chain system Sr${}_2$CuO${}_3$ using Cu $K$-edge resonant inelastic x-ray scattering
• Accelerating Resonant Spectroscopy Simulations Using Multi-Shifted Bi-Conjugate Gradient