1212.1493 (Mehrtash Babadi et al.)

The effects of strong correlations on the phase diagram and collective
modes of quasi-two-dimensional dipolar fermions    [PDF]

Mehrtash Babadi, Brian Skinner, Michael M. Fogler, Eugene Demler

We calculate the ground state energy and phase diagram of the quasi-two-dimensional (quasi-2D) dipolar Fermi gas by variationally mapping the system to its strictly 2D counterpart for which accurate quantum Monte-Carlo (QMC) results are available. We further demonstrate the accuracy and flexibility of our variational technique by mapping the 2D dipolar Fermi gas to the 2D electron gas and showing that the resulting variational estimates closely match the QMC results. Our analysis suggests that the strongly-correlated Fermi liquid wavefunctions of different 2D Fermi systems share salient universal features. We show that inclusion of correlations significantly modify the dependence of the properties of the quasi-2D dipolar Fermi gas on the thickness of the layer compared to mean-field predictions, and calculate the frequency of its monopole oscillations in isotropic traps as an experimental demonstration of correlation effects.

View original: http://arxiv.org/abs/1212.1493