Groundstate and dynamical properties of twodimensional dipolar Fermi liquids
Abstract
We study the groundstate properties of a twodimensional spinpolarized fluid of dipolar fermions within the EulerLagrange Fermihypernettedchain 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 JastrowFeenberg correlations and a fermionic contribution from kinetic energy and exchange, which is tailored to reproduce the HartreeFock 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 liquidtocrystal quantum phase transition (QPT). Using a certain approximate model for the dynamical densitydensity response function, we furthermore demonstrate that: i) the liquid phase is stable towards the formation of density waves up to the liquidtocrystal QPT and ii) an undamped zerosound mode exists for any value of the interaction strength, down to infinitesimally weak couplings.
 Publication:

arXiv eprints
 Pub Date:
 September 2012
 arXiv:
 arXiv:1210.0110
 Bibcode:
 2012arXiv1210.0110A
 Keywords:

 Condensed Matter  Quantum Gases
 EPrint:
 8 pages, 7 figures, submitted