Correlation-hole induced paired quantum Hall states in lowest Landau level

Abstract

A theory is developed for the paired even-denominator fractional quantum Hall states in the lowest Landau level. We show that electrons bind to quantized vortices to form composite fermions, interacting through an exact instantaneous interaction that favors chiral p-wave pairing. Two canonically dual pairing gap functions are related by the bosonic Laughlin wavefunction (Jastraw factor) due to the correlation holes. We find that the ground state is the Moore-Read pfaffian in the long wavelength limit for weak Coulomb interactions, a new pfaffian of an oscillatory pairing function for intermediate interactions, and a Read-Rezayi composite Fermi liquid beyond a critical interaction strength. Our findings are consistent with recent experimental observations of the 1/2 and 1/4 fractional quantum Hall effects in asymmetric wide quantum wells.

4 pages, 2 figures; published version

References in corpus (8)

• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Paired composite fermion wavefunctions
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well
• Observation of fractional quantum Hall effect at even-denominator 1/2 and 1/4 fillings in asymmetric wide quantum wells
• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Fractional quantum Hall state at ν=1/4 in a wide quantum well

Cited by in corpus (5)

• Majorana fermions in spin-singlet nodal superconductors with coexisting non-collinear magnetic order
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Dynamical Mass Generation of Composite Dirac Fermions and Fractional Quantum Hall Effects near Charge Neutrality in Graphene
• Nonperturbative emergence of Dirac fermion in strongly correlated composite fermions of fractional quantum Hall effects