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Inelastic X-ray scattering study of phonons in the multiferroic compound TbMnO$$_3$$

Kajimoto, Ryoichi  ; Sagayama, Hajime*; Sasai, Kenzo*; Fukuda, Tatsuo  ; Tsutsui, Satoshi*; Arima, Takahisa*; Hirota, Kazuma*; Mitsui, Yukari*; Yoshizawa, Hideki*; Baron, A. Q. R.*; Yamazaki, Yuichi*; Tokura, Yoshinori*

An inelastic X-ray scattering study on a single crystal of TbMnO$$_3$$ was performed to reveal whether phonon anomaly related to the appearance of the ferroelectricity exists. We have measured the transverse modes, especially the Mn-O-Mn bending mode, polarized along the $$c$$ axis propagating along the $$b$$ axis, because these modes are expected to be most relevant to the spontaneous electric polarization along the $$c$$ axis concomitantly with the spiral spin ordering modulated along the $$b$$ axis. However, no anomaly in phonon dispersions was observed even below the ferroelectric transition temperature below 50 meV. The present result suggests that the mechanism of ferroelectric transition in $$R$$MnO$$_3$$ is different from that of a conventional displacive-type ferroelectric.



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