He3 bi-layers as a simple example of de-confinement

TL;DR

This paper models He3 bi-layers near a quantum critical point using an Anderson lattice approach, providing insights into localization, effective mass, and coherence temperature, aligning with recent experimental observations.

Contribution

It introduces a theoretical model for He3 bi-layers that captures quantum critical behavior and aids in interpreting experimental data.

Findings

Model successfully fits experimental data on He3 bi-layers

Predicts effective mass divergence near the QCP

Provides estimates for coherence temperature

Abstract

We consider the recent experiments on He3 bi-layers, showing evidence for a quantum critical point (QCP) at which the first layer localizes. Using the Anderson lattice in two dimensions with the addition of a small dispersion of the f-fermion, we modelize the system of adsorbed He3 layers. The first layer represents the f-fermions at the brink of localization while the second layer behaves as a free Fermi sea. We study the quantum critical regime of this system, evaluate the effective mass in the Fermi liquid phase and the coherence temperature and give a fit of the experiments and interpret its main features. Our model can serve as well as a predictive tool used for better determination of the experimental parameters.