Talk Title: Quantum Hall effects in fast rotating Fermi gases with
anisotropic dipolar interaction We investigate fast rotating quasi-two-dimensional dipolar
Fermi gases in the quantum Hall regime. By tuning the direction of the dipole
moments with respect to the $z$-axis, the dipole-dipole interaction becomes
anisotropic in the $x$-$y$ plane. For a soft confining potential we find that,
as we tilt the angle of the dipole moments, the system evolves from a $\nu =
1/3$ Laughlin state with dipoles being polarized along the $z$ axis to a series
of ground states characterized by distinct mean total angular momentum, and
finally to an anisotropic integer quantum Hall state. During the transition
from the fractional regime to the integer regime, we find that the density
profile of the system exhibits crystal-like structures. We map out the ground
states as a function of the tilt angle and the confining potential, revealing
the competition of the isotropic confining potential and both the isotropic and
anisotropic components of the dipole-dipole interaction. |