Resonant Soft X-ray Scattering Study on Multiferroic TbMnO$_{3}$

TbMnO$_{3}$ has been extensively studied both experimentally and theoretically about its fascinating properties (e.g., magneto-electric coupling, spiral magnetic order). Comprehensive resonant x-ray scattering at absorption edges of Mn and Tb, mainly at Mn $L$-edge, were performed on single crystals of TbMnO$_{3}$ to understand the fascinating properties. Under \textit{Pbnm} space group of TbMnO$_{3}$, we found the forbidden reflections, such as (0 q 0), (0 1-2q 0), and (0 2q 0). Each reflection was also investigated by dependency on temperature, photon energy, photon polarization, and etc, which gives us a clue to unveil hidden properties of TbMnO$_{3}$. Detailed description will be dealt with this presentation.