Strong Correlation between Anomalous Quasiparticle Scattering and Unconventional Superconductivity in Hidden Order Phase of URu${}_2$Si${}_2$

Abstract

The pressure dependent electrical resistivity of URu${}_2$Si${}_2$ has been studied at high pressure across the first order phase boundary of $P_x$ where the ground state switches under pressure from "hidden order" (HO) to large moment antiferromagnetic (LAFM) states. The electrical transport in URu${}_2$Si${}_2$ at low temperatures shows a strong sample dependence. We have measured an ultra-clean single crystal whose quality is the highest among those used in previous studies. The generalized power law $\rho ={\rho }_0+A_{n}T{}^n$ analysis finds that the electric transport property deviates from Fermi liquid theory in the HO phase but obeys the theory well above $P_x$. The analysis using the polynomial in $T$ expression $\rho ={\rho }_0+{\alpha }_{1}T+{\alpha }_{2}T{}^2$ reveals the relation ${\alpha }_1/{\alpha }_2$ $\propto$ $T_{sc}$ in the HO phase. While the pressure dependence of ${\alpha }_2$ is very weak, ${\alpha }_1$ is roughly proportional to $T_{sc}$. This suggests a strong correlation between the anomalous quasiparticle scattering and the superconductivity and that both have a common origin. The present study clarifies a universality of the HO phase inherent in strongly correlated electron superconductors near quantum criticality.

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