insight - Computational Complexity - # Doping Dependence of Linear-in-Temperature Scattering Rate in Three-Orbital Emery Model

Core Concepts

The slope of the linear-in-temperature electronic scattering rate evolves linearly with electron-doping, while it is inversely proportional to the hole-doping level at intermediate doping regime and then crossovers to a linear-like dependence on further hole doping.

Abstract

The authors numerically investigated the doping dependence of the linear-in-temperature slope of the electronic and quasiparticle scattering rates in the three-orbital Emery model using dynamical cluster quantum Monte Carlo simulations.

Key highlights:

- The slope of the electronic scattering rate shows distinct doping dependence between electron- and hole-doping regimes.
- On the electron-doping side, the slope evolves linearly with doping.
- On the hole-doping side, the slope is inversely proportional to the doping level at intermediate doping, then crossovers to a linear-like dependence at higher hole doping.
- These features qualitatively match the experimental observations on the doping dependence of the linear-in-temperature resistivity coefficient.
- The authors also examined the doping dependence of the quasiparticle scattering rate and estimated the linear resistivity coefficient, which exhibit more complex behavior.
- The presented work provides insights into the three-orbital Emery model and its connection to the strange metal behavior in cuprate superconductors.

To Another Language

from source content

arxiv.org

Stats

The slope of the linear-in-temperature electronic scattering rate evolves linearly with electron-doping.
The slope of the linear-in-temperature electronic scattering rate is inversely proportional to the hole-doping level at intermediate doping regime.
The slope of the linear-in-temperature electronic scattering rate crossovers to a linear-like dependence on further hole doping.

Quotes

None

Key Insights Distilled From

by Xun Liu, Mi ... at **arxiv.org** 10-01-2024

Deeper Inquiries

The distinct doping dependences of the scattering rate slope in the three-orbital Emery model are closely tied to the underlying electronic structure and many-body interactions. In the electron-doping regime, the slope of the linear-in-temperature scattering rate evolves linearly with increasing electron density, indicating a direct correlation between the added charge carriers and the scattering processes. This behavior suggests that the electronic structure remains relatively stable, allowing for a straightforward increase in conductivity as more electrons are introduced. The linear dependence reflects a metallic state where the scattering mechanisms are dominated by the interactions among the added electrons, which can be effectively described by the many-body interactions captured in the Emery model.
Conversely, in the hole-doping regime, the slope exhibits an inverse relationship with the hole density at intermediate doping levels, transitioning to a linear-like dependence at higher doping levels. This behavior indicates a more complex interplay between the charge carriers and the lattice, where the introduction of holes leads to significant changes in the electronic structure, such as the emergence of a pseudogap and the breakdown of conventional Fermi liquid behavior. The initial inverse dependence suggests that as holes are added, the scattering processes become increasingly influenced by the interactions among the remaining electrons and the holes, leading to a reduction in the effective scattering rate. This asymmetry between electron- and hole-doping highlights the intricate many-body interactions present in the three-orbital Emery model, which captures the essential physics of cuprate superconductors.

The three-orbital Emery model does not fully capture the experimentally observed universal Planckian limit of the linear-in-temperature resistivity coefficient. The Planckian dissipation framework posits that the scattering rate should be proportional to temperature, leading to a universal resistivity coefficient that is independent of the specific material properties. However, the findings from the three-orbital Emery model indicate that while the model can reproduce the linear-in-temperature behavior of the scattering rates, it does not yield a consistent slope that aligns with the universal Planckian limit across all doping regimes.
One of the primary limitations of the Emery model in this context is its reliance on a simplified description of many-body interactions, which may not adequately account for the complex dynamics present in the strange metal phase of cuprates. The model's assumptions regarding the electronic structure and the treatment of interactions may overlook critical factors such as non-local correlations and the role of fluctuations that are essential for achieving the Planckian limit. Additionally, the model's inability to capture the full range of doping-dependent behaviors, particularly the crossover phenomena observed experimentally, suggests that it may not encompass all the necessary physics to describe the universal characteristics of the resistivity in cuprate superconductors.

The doping-dependent scattering rate behavior observed in the three-orbital Emery model has significant implications for the superconducting properties and the phase diagram of cuprate materials. The distinct behaviors in the electron- and hole-doping regimes suggest that the mechanisms driving superconductivity may differ fundamentally depending on the type of doping. In the electron-doping regime, the linear evolution of the scattering rate slope with doping indicates a more straightforward enhancement of metallic behavior, which could facilitate the emergence of superconductivity as the density of charge carriers increases.
In contrast, the inverse dependence of the scattering rate slope on hole doping at intermediate levels points to a more complex relationship between charge density and superconducting properties. This behavior may correlate with the presence of a pseudogap phase, which is often associated with the suppression of superconductivity in hole-doped cuprates. The crossover to a linear-like dependence at higher hole doping levels suggests a potential restoration of superconducting behavior, indicating that the interplay between the scattering mechanisms and the superconducting state is highly sensitive to the doping level.
Overall, the findings from the three-orbital Emery model provide valuable insights into the phase diagram of cuprate materials, highlighting the importance of understanding the doping-dependent scattering rates in relation to superconducting transition temperatures (Tc) and the emergence of different electronic phases. The observed relationships between the scattering rates and superconductivity underscore the need for further exploration of the many-body interactions and electronic correlations that govern the behavior of these complex materials.

0