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Odd-parity electronic multipolar ordering in URu$$_2$$Si$$_2$$; Conclusions from Si and Ru NMR measurements

Kambe, Shinsaku; Tokunaga, Yo; Sakai, Hironori; Hattori, Taisuke; Higa, Nonoka; Matsuda, Tatsuma*; Haga, Yoshinori; Walstedt, R. E.*; Harima, Hisatomo*

We report $$^{29}$$Si and $$^{101}$$Ru NMR measurements on high-quality, single-crystal URu$$_2$$Si$$_2$$ samples with a residual resistivity ratio RRR$$sim$$70. Our results show that the Si and Ru sites exhibit 4-fold electronic symmetry around the $$c$$-axis in the hidden-order state. A previously observed 2-fold contribution of Si NMR linewidth is concluded to be due to extrinsic magnetic centers. Since the U and Si sites are aligned along the $$c$$-axis, we conclude further that the electronic state shows 4-fold symmetry around the U site below the hidden-order transition. From this observed local symmetry, possible space groups for the hidden-order state are $$P4/nnc$$ or $$I4/m$$, based on group theoretical considerations. Since the order vector is considered to be $$Q=(001)$$, the hidden-order state is then found to be $$P4/nnc$$ with rank 5 odd-parity, i.e. electric dotriacontapolar order.

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Category:Materials Science, Multidisciplinary

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