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

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.

10 pages, 9 figures

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• A High Phase-Space-Density Gas of Polar Molecules
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
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Cited by in corpus (19)

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• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
• Anisotropic Pseudopotential Characterization of Quantum Hall Systems under Tilted Magnetic Field
• Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices
• Quantum chaos associated with emergent ergosurface in transition layer between type-I and type-II Weyl semimetals
• Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
• Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
• Phase transition and intrinsic metric of the dipolar fermions in quantum Hall regime
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• Dynamics of Quantum Hall Interfaces
• The behavior of the fractional quantum Hall states in the LLL and 1LL with in-plane magnetic field and Landau level mixing: a numerical investigation
• The single-mode description of the integer quantum Hall state with dipole-dipole interaction
• Wigner crystal induced by dipole-dipole interaction in one-dimensional optical lattices
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• Vortices in fermion droplets with repulsive dipole-dipole interactions
• Fractional quantum Hall interface induced by geometric singularity