1National Laboratory of Solid State Microstructures & School of Physics, Nanjing University, Nanjing 210093 2Department of Physics, Ningbo University, Ningbo 315211 3Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093
Abstract:The universal behavior of thermal conductivity at low temperatures is usually taken as the signature of gap nodes in superconductors. Here we show that in near-nodal superconductors the thermal conductivity obeys a two-parameter scaling law, and can develop super-universal behavior if the temperature is about half the gap minimum. However, when the temperature is fixed at about one quarter of the gap minimum, the thermal conductivity can develop a dip versus the scattering rate, which is in excellent agreement with the behavior of the experimental thermal conductivity in Sr$_2$RuO$_4$. Our theory is useful to correctly analyze the thermal conductivity in any near-nodal superconductor.
Hassinger E, Bourgeois-Hope P, Taniguchi H, René de Cotret S, Grissonnanche G, Anwar M S, Maeno Y, Doiron-Leyraud N and Taillefer L 2017 Phys. Rev. X 7 011032