Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest Landau Level

TL;DR

This paper predicts a new incompressible fractional quantum Hall state at filling factor 3/8, arising from chiral p-wave pairing of spin-polarized composite fermions, specifically of the Anti-Pfaffian type.

Contribution

It introduces the possibility of an Anti-Pfaffian paired state at 3/8, expanding understanding of fractional quantum Hall states and pairing mechanisms.

Findings

Predicts an incompressible state at ν=3/8 due to composite fermion pairing

Suggests the pairing is of the Anti-Pfaffian type

Discusses potential experimental signatures

Abstract

We predict that an incompressible fractional quantum Hall state is likely to form at $\nu=3/8$ as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of the Anti-Pfaffian kind. Possible experimental ramifications are discussed.