Computation of Phonon-Mediated Resistivity in Sr2RuO4 from first principles*

Because of its strong structural similarities to some high-Tc cuprates, Sr2RuO4 (SRO), a supposedly correlated superconductor, has attracted a lot of attention recently. Even though the discovery of superconductivity in SRO happened more than 20 years ago, the nature of the superconducting gap symmetry is still debated today. SRO also bears other unconventional properties like a strong anisotropy of the temperature dependence of its resistivity. Indeed, at low temperature, resistivity behaves like a highly anisotropic 3D Fermi-liquid, but low metallic transport has been reported for the in-plane resistivity at high temperature while the out-of-plane resistivity possesses a transition from metallic to incoherent transport mechanism around 130K which remains unexplained. In order to shed light on these phenomena, we carried out ab initio calculations to compute the electron-phonon coupling in SRO in the framework of density functional theory as implemented in the Quantum ESPRESSO suite. Then, using the EPW module, we report the temperature dependent phonon-mediated resistivity of SRO as computed from the Iterative Boltzmann Transport Equation scheme.