Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach

Abstract

We study Fermi gases in two dimensions at low temperatures with attractive interactions. Analytical results are derived for the equation of state and the Kosterlitz-Thouless transition temperature as functions of the two-body binding energy and the density of the gas. Our results for the equation of state strongly deviate from the mean field predictions. However, they are in reasonable agreement with Monte-Carlo calculations and recent experiments with cold atomic gases.

4 pages, 2 figures

References in corpus (8)

• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions
• Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Finite-temperature quantum fluctuations in two-dimensional Fermi superfluids
• Composite bosons in the 2D BCS-BEC crossover from Gaussian fluctuations

Cited by in corpus (8)

• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Non-relativistic trace anomaly and equation of state in dense fermionic matter
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Response functions for the two-dimensional ultracold Fermi gas: dynamical BCS theory and beyond