Unitary Fermi gas in the epsilon expansion
arXiv:cond-mat/0703465
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 ε=4-d, with d being the dimensionality of space, we determine the thermodynamic functions, the fermion quasiparticle spectrum, the critical polarizations, and the critical temperature as functions of the binding energy of the two-body state. We also show that the unitary Fermi gas near two spatial dimensions reduces to a weakly-interacting Fermi gas and calculate the thermodynamic functions and the fermion quasiparticle spectrum in the expansion over \barε=d-2. We discuss the matching of the two systematic expansions around four and two spatial dimensions in order to extract physical observables at d=3. We find good agreement of the results with those from recent Monte Carlo simulations.
arXiv comment103 pages, 29 figures; PhD thesis, Univ. of Tokyo, 2007 (supervisor: T. Hatsuda and D. T. Son); (v2) Eqs.(6.43)-(6.47) are corrected
References in corpus (69)
- Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
- Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
- Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
- The PHOBOS Perspective on Discoveries at RHIC
- Observation of resonance condensation of fermionic atom pairs
- Universality in Few-body Systems with Large Scattering Length
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Creation of ultracold molecules from a Fermi gas of atoms
- Evidence for Superfluidity in a Resonantly Interacting 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
- Resonance superfluidity in a quantum degenerate Fermi gas
- Pairing in nuclear systems: from neutron stars to finite nuclei
- The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Heat Capacity of a Strongly-Interacting Fermi Gas
- Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
- Prospect of creating a composite fermi/bose superfluid
- Thermodynamics of the BCS-BEC crossover
- Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
- Pure Gas of Optically Trapped Molecules Created from Fermionic Atoms
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Measurement of positive and negative scattering lengths in a Fermi gas of atoms
- Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
- Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
- Asymmetric Two-component Fermion Systems in Strong Coupling
- Observation of Feshbach resonances between two different atomic species
- Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
- Gapless two-flavor color superconductor
- Quantum Monte Carlo Studies of Superfluid Fermi Gases
- Gapless Color-Flavor-Locked Quark Matter
- BCS-BEC crossover at finite temperature for superfluid trapped Fermi atoms
- Epsilon expansion for a Fermi gas at infinite scattering length
- Decay of an ultracold fermionic lithium gas near a Feshbach resonance
- Lifetime of molecule-atom mixtures near a Feshbach resonance in 40K
- Gapless color superconductivity at zero and at finite temperature
- Phase diagram of a cold polarized Fermi gas
- Breakdown of Hydrodynamics in the Radial Breathing Mode of a Strongly-Interacting Fermi Gas
- Breached pairing superfluidity: Possible realization in QCD
- Two-species fermion mixtures with population imbalance
- Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
- Large-N expansion for unitary superfluid Fermi gases
- Resonance theory of the crossover from Bardeen-Cooper-Schrieffer superfluidity to Bose-Einstein condensation in a dilute Fermi gas
- The Virial Equation of State of Low-Density Neutron Matter
- Condensate Fraction of a Fermi Gas in the BCS-BEC Crossover
- Momentum distribution of a Fermi gas of atoms in the BCS-BEC crossover
- BCS-to-BEC crossover from the exact BCS solution
- Polarized Fermi condensates with unequal masses: Tuning the tricritical point
- Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
- BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
- Ground state energy of spin-1/2 fermions in the unitary limit
- Gapless Color Superconductivity
- A self-consistent theory of atomic Fermi gases with a Feshbach resonance at the superfluid transition
- Resonant pairing between Fermions with unequal masses
- Momentum distribution of a trapped Fermi gas with large scattering length
- Superfluid shells for trapped fermions with mass and population imbalance
- Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
- Low-density expansion for the two-dimensional electron gas
- Polarized fermions in the unitarity limit
- Critical temperature for fermion pairing using lattice field theory
- Asymmetric two-component Fermi gas with unequal masses