Quantitative determination of the atomic scattering tensor in orbitally ordered YTiO 3 by using a resonant x-ray scattering technique
Quantitative determination of the atomic scattering tensor in orbitally ordered YTiO 3 by using a resonant x-ray scattering technique
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DOI：
10.1103/physrevb.66.184419
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发表时间：
2002-11
影响因子：
3.7
通讯作者：
H. Nakao;Y. Wakabayashi;T. Kiyama;Y. Murakami;M. Zimmermann;John P. Hill;D. Gibbs;S. Ishihara;Y. Taguchi;Y. Tokura
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文献类型：
--
作者：
H. Nakao;Y. Wakabayashi;T. Kiyama;Y. Murakami;M. Zimmermann;John P. Hill;D. Gibbs;S. Ishihara;Y. Taguchi;Y. Tokura
利用 Ti K 边缘附近的共振 X 射线散射（RXS）研究了 ${\mathrm{YTiO}}_{3}$ 的轨道有序态。在 $1\stackrel{\ensuremath{\rightarrow}}{s}4p$ 偶极跃迁能量（主边缘）处观察到 RXS 强度。通过测量多个散射矢量处信号的方位角和偏振依赖性，可以定量确定钛离子的原子散射张量。在张量的基础上，我们不仅讨论了散射机制，还讨论了轨道有序态的波函数，发现它是两个${t}_{2g}$轨道的线性组合。此外，还观察到 $1\stackrel{\ensuremath{\rightarrow}}{s}3d$ 跃迁能量（前边缘）处的 RXS。发现该信号与主边缘处的信号具有相同的方位角和偏振依赖性。
The orbitally ordered state of ${\mathrm{YTiO}}_{3}$ has been investigated utilizing resonant x-ray scattering (RXS) near the Ti K-edge. The RXS intensities have been observed at the $1\stackrel{\ensuremath{\rightarrow}}{s}4p$ dipole transition energy (the main edge). The atomic scattering tensor of the Ti ion has quantitatively been determined by measurements of the azimuthal angle and polarization dependence of the signal at several scattering vectors. On the basis of the tensor, we discuss not only the scattering mechanism but also the wave function of the orbitally ordered state, finding it to be a linear combination of two ${t}_{2g}$ orbitals. In addition, RXS at the $1\stackrel{\ensuremath{\rightarrow}}{s}3d$ transition energy (the pre-edge) was also observed. This signal was found to have the same azimuthal angle and polarization dependence as that at the main edge.