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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