Zero-temperature magnetism in the periodic Anderson model in the limit of large dimensions

TL;DR

This paper investigates the magnetic properties of the periodic Anderson model in large dimensions, revealing the phase boundary between antiferromagnetic and paramagnetic states and analyzing the evolution of magnetic moments.

Contribution

The study introduces a new algorithm for solving the model and precisely determines the AFM-PM phase boundary in the large-dimensional limit.

Findings

Exact AFM-PM phase boundary identified

Phase transition is second order

Behavior of local moments analyzed

Abstract

We study the magnetism in the periodic Anderson model in the limit of large dimensions by mapping the lattice problem into an equivalent local impurity self-consistent model. Through a recently introduced algorithm based on the exact diagonalization of an effective cluster hamiltonian, we obtain solutions with and without magnetic order in the half-filled case. We find the exact AFM-PM phase boundary which is shown to be of $2^{nd}$ order and obeys $\frac{V^2}{U} \approx const.$ We calculate the local staggered moments and the density of states to gain insights on the behavior of the AFM state as it evolves from itinerant to a local-moment magnetic regime