Magnetic Correlations in a Periodic Anderson Model with Non-Uniform Conduction Electron Coordination

TL;DR

This paper extends Quantum Monte Carlo studies of the Periodic Anderson Model to lattices with variable conduction electron coordination, relevant to quasicrystals and doped heavy fermion systems, revealing insights into magnetic correlations.

Contribution

It introduces a novel QMC approach to analyze magnetic correlations in PAM with non-uniform conduction electron coordination, bridging gaps in understanding complex lattice structures.

Findings

Magnetic correlations depend on conduction electron coordination.

Variable coordination affects the competition between antiferromagnetism and singlet formation.

Results are relevant to magnetic quasicrystals and heavy fermion materials.

Abstract

The Periodic Anderson Model (PAM) is widely studied to understand strong correlation physics and especially the competition of antiferromagnetism and singlet formation. Quantum Monte Carlo (QMC) studies have focused both on issues such as the nature of screening and locating the quantum critical point (QCP) at zero temperature and also on possible experimental connections to phenomena ranging from the Cerium volume collapse to the relation of the magnetic susceptibility and Knight shift in heavy fermions. In this paper we extend QMC work to lattices in which the conduction electron sites can have variable coordination. This situation is relevant both to recently discovered magnetic quasicrystals and also to magnetism in doped heavy fermion systems.