Abstract

A mysterious antiferroquadrupolar ordered phase of ${\mathrm{CeB}}_{6}$ is considered as originating from the ${T}_{xyz}$-type magnetic octupole moment in magnetic fields. By resonant x-ray diffraction, we have verified that the ${T}_{xyz}$-type octupole is indeed induced in the $4f$ orbital of Ce with a propagation vector $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$, thereby supporting the theory. We observed an asymmetric field dependence of the intensity for an electric quadrupole ($E2$) resonance when the field was reversed and extracted a field dependence of the octupole by utilizing the interference with an electric dipole ($E1$) resonance. The result is in good agreement with that of the NMR-line splitting, which reflects the transferred hyperfine field at the boron nucleus from the anisotropic spin distribution of Ce with an ${O}_{xy}$-type quadrupole.

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