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KTH/Nordita/SU seminar in Theoretical Physics

Collective states of interacting fibonacci anyons

by Eddy Ardonne (Nordita)

Europe/Stockholm
FA31

FA31

Description
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.