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Fermi liquid behavior and Luttinger's theorem close to a diverging scattering length

Sergio Gaudio·Jason Jackiewicz·Kevin S. Bedell
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Abstract

Based on the results obtained in a previous paper (S. Gaudio et al., cond-mat/0505309}, we derive the thermodynamic properties of a Fermi gas, deep into the quantum degenerate regime. We show that, if Luttinger's theorem holds, a first order phase transition occurs in the normal phase as a function of the interaction strength, U. We also show that a volume change occurs at finite temperatures from the BEC to the BCS side of a diverging s-wave scattering length, in the normal phase. The transition has an end point above the BCS critical temperature. Also we show that a paramagnetic system in equilibrium, close to the divergence of the scattering length, on the negative side, screens out any applied magnetic field.

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Sergio Gaudio, Jason Jackiewicz, Kevin S. Bedell. 2007-03-27. Fermi liquid behavior and Luttinger's theorem close to a diverging scattering length. https://arxiv.org/abs/cond-mat/0703722

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