Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study

TL;DR

This study uses quantum Monte Carlo simulations to explore the phase diagram and ferromagnetic properties of a two-component repulsive Fermi gas at zero temperature, focusing on the effects of interaction strength and potential type.

Contribution

It provides a detailed quantum Monte Carlo analysis of the phase diagram and ferromagnetism in a repulsive Fermi gas, including the equation of state and stability conditions.

Findings

Determined the critical density for ferromagnetism onset.

Parametrized the energy per particle using repulsive polarons.

Analyzed the phase diagram in polarization and interaction space.

Abstract

We investigate the phase diagram of a two-component repulsive Fermi gas at T=0 by means of quantum Monte Carlo simulations. For a given value of the positive s-wave scattering length, both purely repulsive and purely attractive model potentials are considered in order to analyze the limits of the universal regime where the details of interatomic forces can be neglected. The equation of state of both balanced and unbalanced systems is calculated as a function of the interaction strength and the critical density for the onset of ferromagnetism is determined. The energy per particle of the strongly polarized gas is calculated and parametrized in terms of the physical properties of repulsive polarons, which are relevant for the stability of the fully magnetized ferromagnetic state. Finally, we analyze the phase diagram in the polarization/interaction plane under the assumption that only phases with homogeneous magnetization can be produced.