Dipolar corrections to the static magnetic susceptibility of condensed $^3$He

TL;DR

This paper investigates how correlated electronic zero-point polarization in solid $^3$He causes a small paramagnetic correction to its static magnetic susceptibility, potentially explaining recent experimental findings.

Contribution

It introduces a model for dipolar corrections due to electronic polarization effects in solid $^3$He, providing a quantitative explanation for susceptibility deviations.

Findings

A paramagnetic correction of about 0.1-1% to susceptibility.

The correction arises from anisotropic s-p electronic level mixing.

The model aligns with recent experimental measurements.

Abstract

We examine the consequences of a recent model describing correlated zero-point polarization of the electronic cloud in solid $^3$He. This polarization arises from the highly anisotropic and correlated dynamic mixing of the $s$ and $p$ electronic levels ($\sim1$%). The magnetic polarization introduces a small paramagnetic correction, of $1-0.1$%, to the static susceptibility of condensed $^3$He. This correction could explain recent measurements in liquid $^3$He.