Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body

Abstract

We calculate the ground-state properties of unpolarized two-dimensional attractive fermions in the range from few to many particles. Using first-principles lattice Monte Carlo methods, we determine the ground-state energy, Tan's contact, momentum distribution, and single-particle correlation function. We investigate those properties for systems of $N=4,8,...,40$ particles and for a wide range of attractive couplings. As the attractive coupling is increased, the thermodynamic limit is reached at progressively lower $N$ due to the dominance of the two-body sector. At large momenta $k$, the momentum distribution displays the expected $k^{-4}$ behavior, but its onset shifts from $k\simeq 1.8k_F^{}$ at weak coupling towards higher $k$ at strong coupling.

7 pages, 4 figures, 3 tables

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• Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Numerical continuum tensor networks in two dimensions
• Toward precision Fermi liquid theory in two dimensions
• Few-to-many-particle crossover of pair excitations in a superfluid
• Two-dimensional Bose and Fermi gases beyond weak coupling