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

S. Gaudio, J. Jackiewicz, K.S. Bedell

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)1823 - 1830
Number of pages8
JournalPhilosophical Magazine
Volume89
Issue number22-24
DOIs
Publication statusPublished - Jan 2009
Externally publishedYes

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this