Magnetic excitations in L-edge resonant inelastic x-ray scattering from one-dimensional cuprates

Abstract

We study the magnetic excitation spectra of L-edge resonant inelastic x-ray scattering (RIXS) from the spin singlet ground state in one-dimensional undoped cuprates. Analyzing the transition amplitudes of the magnetic excitations in the second-order dipole allowed process, we find that the magnetic excitations are brought about not only on the core-hole site but also on the neighboring sites. The RIXS spectra are expressed by the one-spin correlation function in the scattering channel with changing polarization, and the two-spin correlation function in the scattering channel without changing polarization. The latter could not be brought about within the so-called UCL approximation. We calculate these correlation functions on a finite-size ring. An application to the possible RIXS spectra in Sr_2CuO_3 demonstrates that the contribution of the two-spin correlation function could be larger than that of the one-spin correlation function in the σpolarization for the momentum transfer around the zone center.

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Cited by in corpus (16)

• High-energy magnetic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates
• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from cuprate compounds
• Femtosecond dynamics of magnetic excitations from resonant inelastic x-ray scattering in CaCu2O3
• Magnetic excitations in stripe-ordered La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ studied using resonant inelastic x-ray scattering
• Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
• Unraveling higher-order corrections in the spin dynamics of RIXS spectra
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Analysis of resonant inelastic x-ray scattering from Sr${}_2$IrO${}_4$ in an itinerant-electron approach
• Resonant inelastic X-ray scattering study of spin-wave excitations in the cuprate parent compound Ca${}_2$CuO${}_2$Cl${}_2$
• Elementary excitations probed by L-edge resonant inelastic x-ray scattering in systems with weak and intermediate electron correlations
• Theory of L-edge resonant inelastic x-ray scattering for magnetic excitations in two-leg spin ladder
• Spin Dynamics and Resonant Inelastic X-ray Scattering in Chromium with Commensurate Spin-Density Wave Order
• Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates
• 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