Itinerant ferromagnetism in a two-dimensional atomic gas

Abstract

Motivated by the first experimental evidence of ferromagnetic behavior in a three-dimensional ultracold atomic gas, we explore the possibility of itinerant ferromagnetism in a trapped two-dimensional atomic gas. Firstly, we develop a formalism that demonstrates how quantum fluctuations drive the ferromagnetic reconstruction first order, and consider the consequences of an imposed population imbalance. Secondly, we adapt this formalism to elucidate the key experimental signatures of ferromagnetism in a realistic trapped geometry.

Accepted for publication in Phys. Rev. A

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• Competition of Exchange and Correlation Energies in Two-Dimensional $N$-component Electron Gas Ferromagnetism
• Polarization in a three-dimensional Fermi gas with Rabi coupling
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• Ferromagnetic--nematic order and strongly correlated phases of fermions in optical flux lattices