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

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

2007-03-27

arxiv.org/abs/cond-mat/0703722v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

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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