# Coherence Temperature in the Diluted Periodic Anderson Model

## TL;DR

This study uses quantum Monte Carlo simulations to explore how disorder affects the coherence temperature in the periodic Anderson model, revealing trends consistent with experimental heavy fermion systems and aiding interpretation of local probes.

## Contribution

It introduces a detailed analysis of disorder effects on the coherence temperature in the PAM using DQMC, connecting theoretical predictions with experimental observations.

## Key findings

- Coherence temperature decreases with increased disorder.
- NMR relaxation rates match experimental data in doped heavy fermions.
- Disorder impacts the entanglement of local moments and conduction electrons.

## Abstract

The Kondo and Periodic Anderson Model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy fermion materials and, more generally, a variety of strong correlation phenomena in $4f$ and $5f$ systems. In this paper, we apply the Determinant Quantum Monte Carlo (DQMC) method to include disorder in the PAM, specifically the removal of a fraction $x$ of the localized orbitals. We determine the evolution of the coherence temperature $T^*$, where the local moments and conduction electrons become entwined in a heavy fermion fluid, with $x$ and with the hybridization $V$ between localized and conduction orbitals. We recover several of the principal observed trends in $T^*$ of doped heavy fermions, and also show that, within this theoretical framework, the calculated Nuclear Magnetic Resonance (NMR) relaxation rate tracks the experimentally measured behavior in pure and doped CeCoIn$_5$. Our results contribute to important issues in the interpretation of local probes of disordered, strongly correlated systems.