Ground-state and dynamical properties of two-dimensional dipolar Fermi liquids

Abstract

We study the ground-state properties of a two-dimensional spin-polarized fluid of dipolar fermions within the Euler-Lagrange Fermi-hypernetted-chain approximation. Our method is based on the solution of a scattering Schrödinger equation for the "pair amplitude" $\sqrt{g(r)}$, where $g(r)$ is the pair distribution function. A key ingredient in our theory is the effective pair potential, which includes a bosonic term from Jastrow-Feenberg correlations and a fermionic contribution from kinetic energy and exchange, which is tailored to reproduce the Hartree-Fock limit at weak coupling. Very good agreement with recent results based on quantum Monte Carlo simulations is achieved over a wide range of coupling constants up to the liquid-to-crystal quantum phase transition (QPT). Using a certain approximate model for the dynamical density-density response function, we furthermore demonstrate that: i) the liquid phase is stable towards the formation of density waves up to the liquid-to-crystal QPT and ii) an undamped zero-sound mode exists for any value of the interaction strength, down to infinitesimally weak couplings.

8 pages, 7 figures, submitted

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Bose-Einstein Condensation of Erbium
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum degenerate dipolar Fermi gas
• Reactions of ultracold alkali metal dimers
• Quantum phase transition in a two-dimensional system of dipoles
• Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Liquid and crystal phase of dipolar fermions in two dimensions
• Collective modes of monolayer, bilayer, and multilayer fermionic dipolar liquid
• Density-wave phases of dipolar fermions in a bilayer
• Theory of correlations in strongly interacting fluids of two-dimensional dipolar bosons

Cited by in corpus (17)

• Long-lived spin plasmons in a spin-polarized two-dimensional electron gas
• Liquid crystal phases of two-dimensional dipolar gases and Berezinskii-Kosterlitz-Thouless melting
• Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas
• Phase-diagram and dynamics of Rydberg-dressed fermions in two-dimensions
• Quantum phases of a one-dimensional dipolar Fermi gas
• Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
• Collective excitations of a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas in the hydrodynamic regime
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• Superfluidity in density imbalanced bilayers of dipolar fermions
• Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
• Heat transfer through dipolar coupling: Sympathetic cooling without contact
• Dipolar fermions in a multilayer geometry
• Rydberg-dressed Fermi liquid: correlations and signatures of droplet crystallization
• Composite quasiparticles in strongly-correlated dipolar Fermi liquids
• Mutual dipolar drag in a bilayer Fermi gas
• Field-induced ferromagnetic phase transition in 2D Fermi systems with magnetic dipole-dipole interaction
• Ordered phases in a bilayer system of dipolar fermions