Momentum dependent light scattering in insulating cuprates

Abstract

We investigate the problem of inelastic x-ray scattering in the spin$-1/2$ Heisenberg model on the square lattice. We first derive a momentum dependent scattering operator for the $A_{1g}$ and $B_{1g}$ polarization geometries. On the basis of a spin-wave analysis, including magnon-magnon interactions and exact-diagonalizations, we determine the qualitative shape of the spectra. We argue that our results may be relevant to help interpret inelastic x-ray scattering experiments in the antiferromagnetic phase of the cuprates.

5 pages, 3 figures, to appear in PRB

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Cited by in corpus (19)

• 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${}_4$
• Detection of Acoustic Plasmons in Hole-Doped Lanthanum and Bismuth Cuprate Superconductors Using Resonant Inelastic X-Ray Scattering
• Systematic computation of crystal field multiplets for X-ray core spectroscopies
• New light on magnetic excitations: indirect resonant inelastic X-ray scattering on magnons
• Unraveling the Nature of Charge Excitations in La${}_2$CuO${}_4$ with Momentum-Resolved Cu $K$-edge Resonant Inelastic X-ray Scattering
• 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
• Electron interactions and charge ordering in La${}_{2-x}$Sr${}_x$CuO${}_4$
• 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
• RIXS studies of magnons and bimagnons in the lightly doped cuprate La2-xSrxCuO4
• Multiple-magnon excitations shape the spin spectrum of cuprate parent compounds
• Magnetic excitations and amplitude fluctuations in insulating cuprates
• An Investigation of Particle-Hole Asymmetry in the Cuprates via Electronic Raman Scattering
• Resonant inelastic X-ray scattering in a Mott insulator
• Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering
• Cavity-Enhanced Optical Manipulation of Antiferromagnetic Magnon-Pairs
• Two-magnon excitations in resonant inelastic x-ray scattering studied by spin-density-wave formalism
• Signatures of multiple charge excitations in RIXS spectra of metals
• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model