Properties of an almost localized Fermi liquid in applied magnetic field revisited: Statistically consistent Gutzwiller approach

TL;DR

This paper revisits the properties of an almost localized Fermi liquid under magnetic fields using a statistically consistent Gutzwiller approach, comparing theoretical results with experimental data for liquid helium-3.

Contribution

It applies the Gutzwiller approximation to the Hubbard model in magnetic fields, providing a semi-quantitative match with experimental magnetization data and analyzing magnetic susceptibility and specific heat.

Findings

Magnetization curve aligns with experimental data for liquid 3 He.

Metamagnetic-like behavior observed in susceptibility and specific heat.

Small vacancy concentration influences magnetic properties.

Abstract

We discuss the Hubbard model in an applied magnetic field and analyze the properties of neutral spin-1/2 fermions within the so-called statistically consistent Gutzwiller approximation (SGA). The magnetization curve reproduces in a semiquantitative manner the experimental data for liquid 3 He in the regime of moderate correlations and in the presence of small number of vacant cells, modeled by a non-half filled-band situation, when a small number of vacancies (up to 5%) is introduced in the virtual fcc lattice. We also present the results for the magnetic susceptibility and the specific heat, in which a metamagnetic-like behavior is also singled out in a non-half-filled band case.