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Title:
Fermi liquid behavior and Luttinger's theorem close to a diverging scattering length
Authors:
Gaudio, S.; Jackiewicz, J.; Bedell, K. S.
Affiliation:
AA(ENEA, Frascati Research Centre, Frascati (Roma), Italy, 00044) AB(Department of Astronomy, New Mexico State University, Las Cruces, NM) AC(Department of Physics, Boston College, Chestnut Hill, MA)
Publication:
Philosophical Magazine, Vol. 89, p. 1823
Publication Date:
01/2009
Origin:
AUTHOR
Keywords:
degenerate Fermi gas, Fermi liquid, Feshbach resonance, superfluidity
Bibliographic Code:
2009PMag...89.1823J

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.
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Database: Astronomy
Physics
arXiv e-prints