Resistivity for Ru oxides on the basis of a conserving approximation

In order to analyze the origin of the non-Fermi liquid behavior in resistivity for Ru oxides, I analyzed the temperature dependence of resistivity, formulated on the basis of a conserving approximation, for the Ru $t_{2g}$ orbital Hubbard model on a 2D square lattice. In this analysis, I focus on the cases of Ca$_{2-x}$Sr$_{x}$RuO$_{4}$ with $x=$ 2 and 0.5, and take account of effects of electron correlation by the fluctuation-exchange approximation. In this presentation, I present the results about the effects of not only the self-energy of electrons and but also the Maki-Thompson-type and the Aslamasov-Larkin-type vertex corrections on the temperature dependence of resistivity.