Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction

TL;DR

This paper explores how anisotropic dipolar interactions influence quantum Hall states in fast rotating Fermi gases, revealing transitions from Laughlin to integer quantum Hall states and crystal-like density structures.

Contribution

It demonstrates the evolution of quantum Hall states under anisotropic dipolar interactions and maps out the phase transitions driven by dipole tilt and confinement.

Findings

Transition from Laughlin to integer quantum Hall states with tilt angle

Emergence of crystal-like density structures during transitions

Competition between isotropic confinement and anisotropic interactions

Abstract

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.