Possible Pairing-Induced Even-Denominator Fractional Quantum Hall Effect in the Lowest Landau Level

TL;DR

This paper proposes a theoretical model for a possible fractional quantum Hall effect at filling factor 3/8, involving p-wave pairing of composite fermions, and estimates the conditions for its realization.

Contribution

It introduces a new theoretical possibility of a fractional quantum Hall state at ν=3/8 involving spin-reversed composite fermion pairing.

Findings

Potential fractional quantum Hall state at ν=3/8

Involves p-wave pairing of composite fermions

Estimates of temperature and magnetic field regimes

Abstract

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state proposed here involves p-wave pairing of composite fermions in the spin reversed sector. The temperature and magnetic field regimes for the realization of this state are estimated.