Unitary Fermi gas at finite temperature in the epsilon expansion

Abstract

Thermodynamics of the unitary Fermi gas at finite temperature is investigated from the perspective of the expansion over epsilon=4-d with d being the dimensionality of space. We show that the thermodynamics is dominated by bosonic excitations in the low temperature region T<<Tc. Analytic formulas for the thermodynamic functions as functions of the temperature are derived to the lowest order in epsilon in this region. In the high temperature region where T Tc, bosonic and fermionic quasiparticles are excited. We determine the critical temperature Tc of the superfluid phase transition and the thermodynamic functions around Tc to the leading and next-to-leading orders in epsilon.

13 pages, 7 figures, revtex4; version to appear in Phys. Rev. A

References in corpus (4)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Epsilon expansion for a Fermi gas at infinite scattering length
• Fermi gas near unitarity around four and two spatial dimensions

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• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Particle-hole fluctuations in the BCS-BEC Crossover
• Ultracold atoms and the Functional Renormalization Group
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
• Renormalisation Flow and Universality for Ultracold Fermionic Atoms
• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
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• Renormalization group analysis of resonantly interacting anyons
• Generalized Galitskii approach for the vertex function of a Fermi gas with resonant interaction
• Effective Lagrangian of unitary Fermi gas from $\epsilon$ expansion
• Spatially Random Disorder in Unitary Fermion System in $(4-\epsilon )$-Dimensions and Effective Action at Finite Temperature