Magnetic excitations in probed by indirect resonant inelastic x-ray scattering

F Forte, LJP Ament, J van den Brink - Physical Review B—Condensed Matter …, 2008 - APS
Physical Review B—Condensed Matter and Materials Physics, 2008APS
Recent experiments on La 2 Cu O 4 suggest that indirect resonant inelastic x-ray scattering
(RIXS) might provide a probe for transversal spin dynamics. We present in detail a
systematic expansion of the relevant magnetic RIXS cross section by using the ultrashort
core-hole lifetime (UCL) approximation. We compute the scattering intensity and its
momentum dependence in leading order of the UCL expansion. The scattering is due to two-
magnon processes and is calculated within a linear spin-wave expansion of the Heisenberg …
Recent experiments on suggest that indirect resonant inelastic x-ray scattering (RIXS) might provide a probe for transversal spin dynamics. We present in detail a systematic expansion of the relevant magnetic RIXS cross section by using the ultrashort core-hole lifetime (UCL) approximation. We compute the scattering intensity and its momentum dependence in leading order of the UCL expansion. The scattering is due to two-magnon processes and is calculated within a linear spin-wave expansion of the Heisenberg spin model for this compound, including longer range and cyclic spin interactions. We observe that the latter terms in the Hamiltonian enhance the first moment of the spectrum if they strengthen the antiferromagnetic ordering. The theoretical spectra agree very well with experimental data, including the observation that scattering intensity vanishes for the transferred momenta and . We show that at finite temperature, there is an additional single-magnon contribution to the scattering with a spectral weight proportional to . We also compute the leading corrections to the UCL approximation and find them to be small, setting the UCL results on a solid basis. All this univocally points to the conclusion that the observed low temperature RIXS intensity in is due to two-magnon scattering.
American Physical Society