Abstract

Kareljan Schoutens (University of Amsterdam, Netherlands)


Non-abelian anyons: when Ising meets Fibonacci.

We show how a pairing interaction imposed on particles in the Lowest Landay Level leads to quantum liquids (quantum Hall states) supporting non-abelian anyons. For spin-polarized particles this is the Moore-Read state, supporting Ising anyons, while spin-1/2 particles lead to so-called NASS states, which support Fibonacci anyons. Using CFT techniques we analyse bulk and edge excitations of both these states and we investigate the properties of an interface between the two.