Fermi gas near unitarity around four and two spatial dimensions
arXiv:cond-mat/0607835 · doi:10.1103/PhysRevA.75.063617
Abstract
We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly interacting system of fermionic and bosonic degrees of freedom. To the leading and next-to-leading orders in the expansion over epsilon=4-d, with d being the dimensionality of space, we calculate the thermodynamic quantities and the fermion quasiparticle spectrum, both at unitarity and around the unitarity point. Then the phase structure of the polarized Fermi gas in the unitary regime is studied in the epsilon expansion. At unitarity the unpolarized superfluid state and a fully polarized normal state are separated by a first order phase transition. However, on the BEC side of the unitarity point, in a certain range of the two-body binding energy, these two phases are separated in the phase diagram by more exotic phases, including gapless superfluid phases with one or two Fermi surfaces and a superfluid phase with a spatially varying condensate. We also show that the unitary Fermi gas near two spatial dimensions is weakly interacting, and calculate the thermodynamic quantities and the fermion quasiparticle spectrum in the expansion over \barε=d-2.
arXiv comment23 pages, 15 figures, revtex4; version to appear in Phys. Rev. A
References in corpus (22)
- Observation of resonance condensation of fermionic atom pairs
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Superfluid Fermi Gases with Large Scattering Length
- Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Heat Capacity of a Strongly-Interacting Fermi Gas
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
- Asymmetric Two-component Fermion Systems in Strong Coupling
- Quantum Monte Carlo Studies of Superfluid Fermi Gases
- Epsilon expansion for a Fermi gas at infinite scattering length
- Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
- Phase diagram of a cold polarized Fermi gas
- A lattice theory for low energy fermions at finite chemical potential
- Unitary Fermi gas at finite temperature in the epsilon expansion
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