Paired composite fermion wavefunctions

TL;DR

This paper introduces a family of BCS paired composite fermion wavefunctions that extend the Moore-Read Pfaffian state, accurately modeling the ground state for various interactions in the half-filled Landau level.

Contribution

It presents a new class of wavefunctions that generalize the Moore-Read state while preserving its topological properties.

Findings

Wavefunctions accurately represent the ground state for relevant interactions

Generalization maintains the same topological phase as Moore-Read state

Applicable to the half-filled Landau level

Abstract

We construct a family of BCS paired composite fermion wavefunctions that generalize, but remain in the same topological phase as, the Moore-Read Pfaffian state for the half-filled Landau level. It is shown that for a wide range of experimentally relevant inter-electron interactions the groundstate can be very accurately represented in this form.