Abstract

We present the results of resonant x-ray scattering experiments on ${\mathrm{KCuF}}_{3}.$ Structurally forbidden reflections, corresponding to magnetic and $3d$-orbital long-range order, have been observed. Integrated intensities have been measured as a function of incident energy, polarization, azimuthal angle, and temperature. By means of ab initio local spin density approximation (LSDA) and local spin density approximation with on-site Coulomb interaction (LSDA+U) calculations we determine the electronic structure of ${\mathrm{KCuF}}_{3}$ and obtain the resonant x-ray scattering spectrum at the Cu K edge, which shows good agreement with the experimental data. Orbital and spin degrees of freedom are strongly coupled, and the temperature dependence of the intensity of orbital Bragg peaks reveals a correlation between magnetic and orbital order parameters.

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