Unpaired composite fermion, topological exciton, and zero mode

TL;DR

This paper develops a microscopic model for unpaired composite fermions in paired states, revealing their association with topological excitons and providing insights into zero modes and fusion rules in topological quantum systems.

Contribution

It introduces an explicit microscopic description of unpaired composite fermions and links them to topological excitons, enhancing understanding of zero modes in topological states.

Findings

Accurate microscopic description of unpaired composite fermions for a 3-body interaction

Unpaired composite fermions carry charge-neutral topological excitons

Provides microscopic insights into zero modes and fusion rules in topological states

Abstract

The paired state of composite fermions is expected to support two kinds of excitations: vortices and unpaired composite fermions. We construct an explicit microscopic description of the unpaired composite fermions, which we demonstrate to be accurate for a 3-body model interaction, and, possibly, adiabatically connected to the Coulomb solution. This understanding reveals that an unpaired composite fermion carries with it a charge-neutral "topological" exciton, which, in turn, helps provide microscopic insight into the origin of zero modes, fusion rules, and energetics.