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Quadrupole and hexadecapole ordering in DyB$$_2$$C$$_2$$; Direct observation with resonant X-ray diffraction

Tanaka, Yoshikazu*; Inami, Toshiya; Lovesey, S. W.*; Knight, K. S.*; Yakhou, F.*; Mannix, D.*; Kokubun, Jun*; Kanazawa, Masayuki*; Ishida, Kotaro*; Nanao, Susumu*; Nakamura, Tetsuya*; Yamauchi, Hiroki*; Onodera, Hideya*; Oyama, Kenji*; Yamaguchi, Yasuo*

Direct evidence of the spatial ordering of Dy 4$$f$$ quadrupole and hexadecapole moments in DyB$$_2$$C$$_2$$ is demonstrated by resonant X-ray diffraction enhanced by an electric quadrupole event ($$E$$2 resonance) at the Dy L$$_{III}$$ absorption edge. The diffraction data show that the structural phase transition at $$T$$$$_{Q}$$ = 24.7 K is accompanied by a reduction in the symmetry of the Dy site to 2/$$m$$, from 4/$$m$$, and the spatial ordering of the time-even Dy multipoles with A$$_{g}$$ character. Below $$T$$$$_{Q}$$ the crystal structure is described by the space group $$P$$4$$_2$$/$$mnm$$ and Dy ions occupy sites (4$$c$$). The distortion at T$$_{Q}$$ involves the lattice occupied by B and C ions, and it amounts to a buckling of B-C planes that are normal to the two-fold rotation axis of 2/$$m$$. An immediately plausible model of low-energy Dy states correlates data on the specific heat, our X-ray diffraction signals, and magnetic ordering below 15.3 K which has been observed in magnetic neutron diffraction.

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Category:Materials Science, Multidisciplinary

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