Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas

Abstract

Using ab initio lattice methods, we calculate the finite temperature thermodynamics of homogeneous two-dimensional spin-1/2 fermions with attractive short-range interactions. We present results for the density, pressure, compressibility, and quantum anomaly (i.e. Tan's contact) for a wide range of temperatures and coupling strengths, focusing on the unpolarized case. Within our statistical and systematic uncertainties, our prediction for the density equation of state differs quantitatively from the prediction by Luttinger-Ward theory in the strongly coupled region of parameter space, but otherwise agrees well with it. We also compare our calculations with the second- and third-order virial expansion, with which they are in excellent agreement in the low-fugacity regime.

7 pages, 8 figures, including supplemental materials

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• The ground state energy at unitarity
• A two-dimensional Fermi liquid with attractive interactions
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas
• Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact
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Cited by in corpus (64)

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• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
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• Concept of contact spectrum and its applications in atomic quantum Hall states
• Measures of complexity and entanglement in fermionic many-body systems
• Finite-temperature quantum fluctuations in two-dimensional Fermi superfluids
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
• Superfluid density and critical velocity near the fermionic Berezinskii-Kosterlitz-Thouless transition
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• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Comparison of strong-coupling theories for a two-dimensional Fermi gas
• Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems
• Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body
• Second sound in 2D Bose gas: from the weakly interacting to the strongly interacting regime
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
• Virial expansion for the Tan contact and Beth-Uhlenbeck formula from 2D SO(2,1) anomalies
• Clustering of Four-Component Unitary Fermions
• Dynamical structure factors of a two-dimensional Fermi superfluid within random phase approximation
• Collective modes of a two-dimensional Fermi gas at finite temperature
• Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
• Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region
• Pressure profiles of nonuniform two-dimensional atomic Fermi gases
• Fermi-Fermi crossover in the ground state of 1D few-body systems with anomalous three-body interactions
• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance
• Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Effective theory for ultracold strongly interacting fermionic atoms in two dimensions
• Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Tan's contact and the phase distribution of repulsive Fermi gases: Insights from QCD noise analyses
• Universal Properties of Fermi Gases in One-dimension
• Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
• A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
• Leading- and next-to-leading order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions
• Accurate computations of Rashba spin-orbit coupling in interacting systems: from the Fermi gas to real materials
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
• Harmonically trapped fermions in two dimensions: ground-state energy and contact of SU(2) and SU(4) systems via nonuniform lattice Monte Carlo
• Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
• Lattice Improvement in Lattice Effective Field Theory
• Dynamical violation of scale invariance and the dilaton in a cold Fermi gas
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Gaussian fluctuations in the two-dimensional BCS-BEC crossover: finite temperature properties
• Quantum anomaly and thermodynamics of one-dimensional fermions with antisymmetric two-body interactions
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Two-dimensional Bose and Fermi gases beyond weak coupling
• The normal state of attractive Fermi gases from coupled-cluster theory
• A lattice pairing-field approach to ultracold Fermi gases
• Renormalization group approach to the normal phase of 2D Fermi gases
• Interplay of the pseudogap and the BCS gap for heteropairs in ${}^{40}$K-${}^6$Li mixture