Scaling relation found in anomalous electrical transport and superconductivity of heavy fermion superconductor URu2Si2

Abstract

The pressure dependent electrical resistivity of URu2Si 2 has been studied at high pressure across the first order phase boundary of Px where the ground state switches under pressure from "hidden order" (HO) to large moment antiferromagnetic (LAFM) states. We have measured an ultra-clean single crystal whose quality is the highest among those used in previous studies. We have previously analyzed the resistivity data with the generalized power law ρ = ρ0 + A nTn. It was found that the electric transport property deviates from Fermi liquid theory in the HO phase but obeys the theory well above Px. In this paper, we re-analyze the data using the polynomial in T expression ρ = ρ0 + α1T + α 2T2. The analysis finds the relation α1/ α2 α Tsc in the HO phase. While the pressure dependence of α2 is very weak, α1 is roughly proportional to Tsc. 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. © Published under licence by IOP Publishing Ltd.