The induced interaction in a Fermi gas with a BEC-BCS crossover

Abstract

We study the effect of the induced interaction on the superfluid transition temperature of a Fermi gas with a BEC-BCS crossover. The Gorkov-Melik-Barkhudarov theory about the induced interaction is extended from the BCS side to the entire crossover, and the pairing fluctuation is treated in the approach by Nozières and Schmitt-Rink. At unitarity, the induced interaction reduces the transition temperature by about twenty percent. In the BCS limit, the transition temperature is reduced by a factor about 2.22, as found by Gorkov and Melik-Barkhudarov. Our result shows that the effect of the induced interaction is important both on the BCS side and in the unitary region.

11 pages, 3 figures, to be published in PRA

References in corpus (15)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of Bose-Einstein Condensation of Molecules
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Thermodynamics of the BCS-BEC crossover
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
• Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• BCS-BEC crossover at finite temperature in the broken-symmetry phase
• Critical Temperature Curve in the BEC-BCS Crossover
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Particle-hole fluctuations in the BCS-BEC Crossover
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity

Cited by in corpus (20)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Entanglement between pairing and screening in the Gorkov-Melik-Barkhudarov correction to the critical temperature throughout the BCS-BEC crossover
• Pseudogap phenomena in ultracold atomic Fermi gases
• Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
• Finite Temperature Phase Diagram of Quasi-Two-Dimensional Imbalanced Fermi Gases Beyond Mean-Field
• Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
• QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
• Phase diagrams of Fermi gases in a trap with mass and population imbalances at finite temperature
• Finite temperature vortices in a rotating Fermi gas
• Effect of the particle-hole channel on BCS--Bose-Einstein condensation crossover in atomic Fermi gases
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Zero density limit extrapolation of the superfluid transition temperature in a unitary atomic Fermi gas on a lattice
• Emergent Fano-Feshbach resonance in two-band superconductors with an incipient quasi-flat band: Enhanced critical temperature evading particle-hole fluctuations
• Influence of Induced Interactions on Superfluid Properties of Quasi-Two Dimensional Dilute Fermi Gases With Spin-Orbit Coupling
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Unitary Fermi superfluid near the critical temperature: thermodynamics and sound modes from elementary excitations
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
• The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
• Critical pairing fluctuations in the normal state of a superconductor: pseudogap and quasi-particle damping