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Emergent rank-5 nematic order in URu$$_2$$Si$$_2$$

Ikeda, Hiroaki*; Suzuki, Michito; Arita, Ryotaro*; Takimoto, Tetsuya*; Shibauchi, Takasada*; Matsuda, Yuji*

The origin of the hidden-order phase transition of URu$$_2$$Si$$_2$$ has been a long-standing mystery in condensed matter physics. We examine the complete set of multipole correlations allowed in URu$$_2$$Si$$_2$$ based on a first-principles theoretical approach. The results uncover that the hidden-order parameter is a rank-5 multipole (dotriacontapole) order with nematic $$E$$$$^{-}$$ symmetry. This naturally provides comprehensive explanations of all key features in the hidden-order phase including anisotropic magnetic excitations, nearly degenerate antiferromagnetic-ordered state, and spontaneous rotational symmetry breaking.

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Category:Physics, Multidisciplinary

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