Quantum Hall fractions in ultracold fermionic vapors

TL;DR

This paper explores quantum Hall states in ultracold fermionic gases, demonstrating that p-wave interactions lead to Laughlin states at specific filling factors and estimating related energy gaps and composite fermion masses.

Contribution

It provides a theoretical analysis of quantum Hall effects in ultracold fermionic vapors, linking p-wave scattering to hard-core interactions and exact ground states.

Findings

Laughlin wavefunction is the exact ground state at nu=1/3

Estimated energy gaps for incompressible liquids at various filling factors

Estimated the mass of composite fermions at nu=1/2

Abstract

We study the quantum Hall states that appear in the dilute limit of rotating ultracold fermionic gases when a single hyperfine species is present. We show that the p-wave scattering translates into a pure hard-core interaction in the lowest Landau level. The Laughlin wavefunction is then the exact ground state at filling fraction nu=1/3. We give estimates of some of the gaps of the incompressible liquids for nu = p/(2p+-1). We estimate the mass of the composite fermions at nu =1/2. The width of the quantum Hall plateaus is discussed by considering the equation of state of the system.