# Energy Scales of the Doped Anderson Lattice Model

## TL;DR

This study investigates the energy scales in the doped Anderson lattice model using DMFT and CTQMC, revealing a doping-dependent coherence temperature $T*$ that governs low-temperature properties, differing from the single ion Kondo temperature.

## Contribution

It introduces the concept of a doping-dependent coherence temperature $T*$ that better describes lattice properties than the traditional Kondo temperature.

## Key findings

- $T*$ closely matches $T_K$ at half filling.
- $T*$ vanishes as doping approaches zero.
- Hybridization strength influences $T*$ and doping effects.

## Abstract

This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature $T_K$ but instead are governed by a doping-dependent coherence temperature $T*$ which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling $T*$ closely approximates the single ion $T_K$, but as the filling $n_c$ is reduced to zero, $T*$ also vanishes. The coherence temperature $T*$ is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at $T*$. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines $T*$ in the lattice model.