Doping dependence of linear-in-temperature scattering rate in three-orbital Emery model

Motivated by the recent experimental demonstration of the doping dependence of the linear-in-temperature resistivity coefficient in cuprates, we numerically investigated the three-orbital Emery model focusing on the slope of the $T$-linear electronic and quasiparticle scattering rates by adopting dynamical cluster quantum Monte Carlo simulations. Our exploration discovered that the slope of electronic scattering rate evolves linearly with the electron-doping; while it is inversely proportional to the hole-doping level at intermediate doping regime and then crossovers to the linear-like dependence on further hole doping. These features remarkably match with the experimental findings qualitatively. We further discuss the doping-dependent slope of the quasiparticle scattering rate and also estimate the resistivity coefficient. Our presented work provides promising insight on the three-orbital Emery model, particularly its doping evolution and connection to the underlying mechanism of the $T$-linear resistivity in cuprates.