KTH/Nordita/SU seminar in Theoretical Physics

Collective states of interacting fibonacci anyons

by Eddy Ardonne (Nordita)



Fibonacci anyons have been studied in the context of topological quantum computation. After introducing these anynos, we show that chains of interacting Fibonacci anyons can support a variety of collective ground states ranging from extended critical phases to gapped phases with ground-state degeneracy and quasiparticle excitations. In particular, we generalize the Majumdar-Ghosh Hamiltonian to anyonic degrees of freedom by extending recently studied pairwise anyonic interactions to three-anyon interactions. The energetic competition between two- and three-anyon interactions leads to a rich phase diagram that harbours multiple critical and gapped phases.