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NMR study of rotational and superconducting symmetry in URu$$_2$$Si$$_2$$

Kambe, Shinsaku  

In strongly correlated 5f-electrons systems, exotic electronic states appear due to the itinerant nature of 5f-electrons. Appearance of unconventional superconductivity under hidden ordered state in URu$$_{2}$$Si$$_{2}$$ is typical example of it. In this study, the rotational symmetry of hidden ordered state and the superconducting gap symmetry are investigated by means of $$^{29}$$Si NMR. As previously reported, the strength of 2-fold rotational breaking is weak and distributed in the basal plane of hidden ordered state. Consistently, the local 4-fold symmetry is supported via 4-fold Ruderman-Kittel interaction between the nearest neighbor Si sites determined by the NMR spin echo decay in the present study. The origin of muted 2-fold symmetry will be discussed. Concerning the superconducting gap symmetry, T-dependence of Knight shift along a-axis and c-axisindicates that the singlet paring (i.e. d-wave) is likely for the superconducting state of URu$$_{2}$$Si$$_{2}$$.

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