Quasi-two-dimensional Fermi gases at finite temperature

Abstract

We consider a Fermi gas with short-range attractive interactions that is confined along one direction by a tight harmonic potential. For this quasi-two-dimensional (quasi-2D) Fermi gas, we compute the pressure equation of state, radio frequency spectrum, and the superfluid critical temperature $T_c$ using a mean-field theory that accounts for all the energy levels of the harmonic confinement. Our calculation for $T_c$ provides a natural generalization of the Thouless criterion to the quasi-2D geometry, and it correctly reduces to the 3D expression derived from the local density approximation in the limit where the confinement frequency ${\omega }_z\to 0$. Furthermore, our results suggest that $T_c$ can be enhanced by relaxing the confinement and perturbing away from the 2D limit.

arXiv comment8 pages, 4 figures

References in corpus (28)

• The electronic properties of graphene
• Many-Body Physics with Ultracold Gases
• Large momentum part of fermions with large scattering length
• Interatomic collisions in a tightly confined Bose gas
• Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D
• Observation of a pairing pseudogap in a two-dimensional Fermi gas
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Observation of a two-dimensional Fermi gas of atoms
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Evolution of Fermion Pairing from Three to Two Dimensions
• Spectral Functions and rf Response of Ultracold Fermionic Atoms
• Quasi-two-dimensional organic superconductors: a review
• BCS-BEC crossover in a two-dimensional Fermi gas
• Production of a Fermi gas of atoms in an optical lattice
• Polarons in the radio-frequency spectrum of a quasi-two-dimensional Fermi gas
• Superfluid transition in quasi2D Fermi gases
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Ground-state pressure of quasi-2D Fermi and Bose gases
• An Example of Quantum Anomaly in the Physics of Ultra-Cold Gases
• Vortex-Antivortex Lattice in Ultra-Cold Fermi Gases
• Universal equation of state and pseudogap in the two-dimensional Fermi gas
• Pair Correlations in the Two-Dimensional Fermi Gas
• Clock shift in a strongly interacting two-dimensional Fermi gas
• Quasi two-dimensional superfluid Fermi gases
• Radio frequency spectra of Feshbach molecules in quasi-two dimensional geometries
• High-polarization limit of the quasi-two-dimensional Fermi gas
• Pairing and radio-frequency spectroscopy in two-dimensional Fermi gases
• BCS-BEC crossover in a quasi-two-dimensional Fermi gas

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• Thermodynamics of an attractive 2D Fermi gas
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• High temperature pairing in a strongly interacting two-dimensional Fermi gas
• Phase separation and pair condensation in a spin-imbalanced 2D Fermi gas
• Criteria for 2D kinematics in an interacting Fermi gas
• Dimensional crossover of nonrelativistic bosons
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Quasi-condensation in two-dimensional Fermi gases
• Dimensional crossover in a strongly interacting ultracold atomic Fermi gas
• Evolution of Cooper pairs with zero-center-of-mass momentum and their first-order correlation function in a two-dimensional ultracold Fermi gas near the observed Berezinskii-Kosterlitz-Thouless transition
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Strong pairing in two dimensions: Pseudogaps, domes, and other implications
• Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases