Non-Abelian anyons: when Ising meets Fibonacci

TL;DR

This paper explores the interface between two non-Abelian quantum Hall states, revealing a conformal field theory with central charge 7/10 that describes neutral excitations, and discusses the impact of differing anyon statistics.

Contribution

It introduces a detailed analysis of the interface between Ising and Fibonacci non-Abelian states, identifying the associated conformal field theory and effects of statistical mismatches.

Findings

Interface supports neutral excitations described by c=7/10 CFT

Mismatch in anyon statistics affects interface properties

Provides insights into non-Abelian state interactions

Abstract

We consider an interface between two non-Abelian quantum Hall states: the Moore-Read state, supporting anyons of Ising type, and the k=2 NASS (non-Abelian spin-singlet) state, supporting anyons of Fibonacci type. It is shown that the interface supports neutral excitations described by a 1+1 dimensional conformal field theory with central charge c=7/10. We discuss effects of the mismatch of the quantum statistical properties of the quasi-holes between the two sides, as reflected by the interface theory.