Magnetic excitations in L-edge resonant inelastic x-ray scattering from cuprate compounds

Abstract

We study the magnetic excitation spectra in L-edge resonant inelastic x-ray scattering (RIXS) from undoped cuprates. We analyze the second-order dipole allowed process that the strong perturbation works through the intermediate state in which the spin degree of freedom is lost at the core-hole site. Within the approximation neglecting the perturbation on the neighboring sites, we derive the spin-flip final state in the scattering channel with changing the polarization, which leads to the RIXS spectra expressed as the dynamical structure factor of the transverse spin components. We assume a spherical form of the spin-conserving final state in the channel without changing the polarization, which leads to the RIXS spectra expressed as the 'exchange'-type multi-spin correlation function. Evaluating numerically the transition amplitudes to these final states on a finite-size cluster, we obtain a sizable amount of the transition amplitude to the spin-conserving final state in comparison with that to the spin-flip final state. We treat the itinerant magnetic excitations in the final state by means of the 1/S-expansion method. Evaluating the higher-order correction with 1/S, we find that the peak arising from the one-magnon excitation is reduced with its weight, and the continuous spectra arising from the three-magnon excitations come out. The interaction between two magnons is treated by summing up the ladder diagrams. On the basis of these results, we analyze the L_3-edge RIXS spectra in Sr_2CuO_2Cl_2 in comparison with the experiment. It is shown that the three-magnon excitations as well as the two-magnon excitations give rise to the intensity in the high energy side of the one-magnon peak, making the spectral shape asymmetric with wide width, in good agreement with the experiment.

18 pages, 10 figures, Revtex

References in corpus (8)

• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• 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
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from one-dimensional cuprates
• Analysis of resonant inelastic x-ray scattering at the $K$ edge in NiO
• Theoretical Analysis of Resonant Inelastic X-Ray Scattering Spectra in LaMnO3

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• Doping dependence of magnetic excitations of 1D cuprates as probed by Resonant Inelastic x-ray Scattering
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• Resonant inelastic x-ray scattering study of entangled spin-orbital excitations in superconducting PrFeAsO0.7
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• Spin Dynamics and Resonant Inelastic X-ray Scattering in Chromium with Commensurate Spin-Density Wave Order
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• Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates
• Theoretical Study of $L$-edge Resonant Inelastic X-ray Scattering in La${}_2$CuO${}_4$ on the Basis of Detailed Electronic Band Structure
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• Evolution of the magnetic excitations in electron-doped ${\mathrm{La}}_{2-x}{\mathrm{Ce}}_x{\mathrm{CuO}}_4$
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• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model