Thermodynamic evidence for a two-component superconducting order parameter in Sr 2 RuO 4

Abstract

Sr 2 RuO 4 has stood as the leading candidate for a spin-triplet superconductor for 26 years. However, recent NMR experiments have cast doubt on this candidacy and it is difficult to find a theory of superconductivity that is consistent with all experiments. Here, the order parameter symmetry for this material therefore remains an open question. Symmetry-based experiments are needed that can rule out broad classes of possible superconducting order parameters. Here, we use resonant ultrasound spectroscopy to measure the entire symmetry-resolved elastic tensor of Sr 2 RuO 4 through the superconducting transition. We observe a thermodynamic discontinuity in the shear elastic modulus c 66 , which implies that the superconducting order parameter has two components. A two-component p-wave order parameter, such as p x + ip y , naturally satisfies this requirement. As this order parameter appears to have been precluded by recent NMR experiments, we suggest that two other two-component order parameters, namely {d xz ,d yz } and {d x 2 –y 2 ,g xy (x 2 –y 2 ) }, are now the prime candidates for the order parameter of Sr 2 RuO 4 .