# Quantum criticality in the two-dimensional periodic Anderson model

## TL;DR

This paper investigates the quantum critical behavior of the two-dimensional periodic Anderson model, revealing a phase transition and critical exponents using advanced computational methods.

## Contribution

It introduces the application of the dynamical vertex approximation to analyze quantum criticality in the periodic Anderson model, identifying a phase transition and critical exponents.

## Key findings

- Phase transition between antiferromagnetic insulator and Kondo insulator.
- Critical exponent γ=2 at quantum critical point.
- Different susceptibility behaviors at various temperature regimes.

## Abstract

We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition between a zero-temperature antiferromagnetic insulator and a Kondo insulator. In the quantum critical region, we determine a critical exponent $\gamma\!=\!2$ for the antiferromagnetic susceptibility. At higher temperatures, we have free spins with $\gamma\!=\!1$ instead, whereas at lower temperatures, there is an even stronger increase and suppression of the susceptibility below and above the quantum critical point, respectively.