Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations

Details Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations

2010-08-09

arxiv.org/abs/1008.1457v2

Phys. Rev. A 82 043626 (2010)

Physics

Condensed Matter

Quantum Gases

7 pages, 5 figures, accepted in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.82.043626

Quantum virial expansion provides an ideal tool to investigate the high-temperature properties of a strongly correlated Fermi gas. Here, we construct the virial expansion in the presence of spin population imbalance. Up to the third order, we calculate the high-temperature free energy of a unitary Fermi gas as a function of spin imbalance, with infinitely large, attractive or repulsive interactions. In the latter repulsive case, we show that there is no itinerant ferromagnetism when quantum virial expansion is applicable. We therefore estimate an upper bound for the ferromagnetic transition temperature $T_{c}$. For a harmonically trapped Fermi gas at unitarity, we find that $(T_{c})_{uppper}

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