Spectral analysis of resonant x-ray scattering in CeB 6 under an external magnetic field
Spectral analysis of resonant x-ray scattering in CeB 6 under an external magnetic field
复制标题
外磁场作用下 CeB 6 中 X 射线共振散射的谱分析
DOI：
10.1103/physrevb.82.024402
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发表时间：
2010
影响因子：
3.7
通讯作者：
J. Igarashi
中科院分区：
文献类型：
--
作者：
T. Nagao;J. Igarashi
We study the resonant x-ray scattering (RXS) spectra of ${\text{CeB}}_{6}$ in an antiferroquadrupole (AFQ) ordering phase, near the Ce ${L}_{3}$ edge under the applied magnetic field $\mathbf{H}\ensuremath{\parallel}(\overline{1},1,0)$. On the basis of a localized electron model equipped with a mechanism that the RXS signal is brought about by the intra-atomic Coulomb interaction in Ce, we calculate the RXS spectra. The obtained spectra exhibit two contributions around the electric dipole $(E1)$ and quadrupole $(E2)$ positions, and differ drastically when the orientation of $\mathbf{H}$ is reversed. The difference is brought about by the cross terms between the even-rank AFQ and magnetic-induced odd-rank contributions. At the $E1$ region, the relevant cross term is the one within the $E1$ process, while at the $E2$ region, they are ones within the $E2$ process and between the $E1$ and $E2$ processes. These findings capture the characteristic features the recent experimental data show, and provide a strong support and information of the field-induced multipole orderings. We also evaluate the RXS spectra near the ${L}_{2}$ edge. Though the results show no $E2$ contribution, we find that the intensity around the $E1$ transition, which is as large as that at the ${L}_{3}$ edge, can be detected experimentally.
We study the resonant x-ray scattering (RXS) spectra of ${\text{CeB}}_{6}$ in an antiferroquadrupole (AFQ) ordering phase, near the Ce ${L}_{3}$ edge under the applied magnetic field $\mathbf{H}\ensuremath{\parallel}(\overline{1},1,0)$. On the basis of a localized electron model equipped with a mechanism that the RXS signal is brought about by the intra-atomic Coulomb interaction in Ce, we calculate the RXS spectra. The obtained spectra exhibit two contributions around the electric dipole $(E1)$ and quadrupole $(E2)$ positions, and differ drastically when the orientation of $\mathbf{H}$ is reversed. The difference is brought about by the cross terms between the even-rank AFQ and magnetic-induced odd-rank contributions. At the $E1$ region, the relevant cross term is the one within the $E1$ process, while at the $E2$ region, they are ones within the $E2$ process and between the $E1$ and $E2$ processes. These findings capture the characteristic features the recent experimental data show, and provide a strong support and information of the field-induced multipole orderings. We also evaluate the RXS spectra near the ${L}_{2}$ edge. Though the results show no $E2$ contribution, we find that the intensity around the $E1$ transition, which is as large as that at the ${L}_{3}$ edge, can be detected experimentally.