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

TL;DR

This study uses quantum Monte Carlo simulations to analyze how doping affects the linear-in-temperature scattering rate in the three-orbital Emery model, shedding light on the mechanisms behind T-linear resistivity in cuprates.

Contribution

It reveals the doping-dependent behavior of scattering rates in the Emery model, aligning with experimental observations and advancing understanding of T-linear resistivity in cuprates.

Findings

Electronic scattering rate slope varies linearly with electron doping.

Inverse proportionality of scattering rate slope with hole doping at intermediate levels.

Qualitative agreement with experimental doping dependence of resistivity.

Abstract

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.