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arXiv:1102.0121 · The European Physical Journal D

Repulsive polarons and itinerant ferromagnetism in strongly polarized Fermi gases

Pietro Massignan, Georg M. Bruun

Published Jul 27, 2011• 130 citations
arXivHTMLPDF
DOI
10.1140/epjd/e2011-20084-5

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We analyze when a repulsively interacting two-component Fermi gas becomes thermodynamically unstable against phase separation. We focus on the strongly polarized limit, where the free energy of the homogeneous mixture can be calculated accurately in terms of well-defined quasiparticles, the repulsive polarons. Phase diagrams as a function of polarization, temperature, mass imbalance, and repulsive polaron energy, as well as scattering length and range parameter, are provided. We show that the lifetime of the repulsive polaron increases significantly with the interaction range and the mass of the minority atoms, raising the prospects of detecting the transition to the elusive itinerant ferromagnetic state with ultracold atoms.
Abstract This chapter discusses the magnetic properties of interacting Fermi gases. It considers the transition to the ferromagnetic phase (itinerant ferromagnetism) of a repulsive Fermi gas as a consequence of the Stoner instability. The dependence of the magnetic susceptibility on the relevant interaction coupling constant is explicitly discussed. The chapter then investigates the competition between superfluidity and ferromagnetism and the nature of the Clogston–Chandrasekhar transition, both in uniform and harmonically trapped Fermi gases, with special focus on the behaviour at unitarity, where systematic experimental data are available. It finally addresses the problem of the polaron in highly polarized configurations and the transition from the polaron to molecular binding along the BCS–BEC crossover.