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. We also show that a volume change occurs at finite temperatures as we go through a divergence in the s-wave scattering length, in the normal phase. The first-order transition has a critical temperature, T, above the BCS transition 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.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
Gaudio, S., Jackiewicz, J., & Bedell, K. S. (2009). Fermi liquid behavior and Luttinger's theorem close to a diverging scattering length. Philosophical Magazine, 89(22-24), 1823 - 1830. https://doi.org/10.1080/14786430802691204