Collective states of interacting fibonacci anyons

Simon Trebst, Eddy Ardonne, Adrian Feiguin, David A. Huse, Andreas W.W. Ludwig, Matthias Troyer

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless 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 exchanges. The energetic competition between two- and three-anyon interactions leads to a rich phase diagram that harbors multiple critical and gapped phases. For the critical phases and their higher symmetry end points we numerically establish descriptions in terms of two-dimensional conformal field theories. A topological symmetry protects the critical phases and determines the nature of gapped phases.

Original languageEnglish (US)
Article number050401
JournalPhysical review letters
Issue number5
StatePublished - Jul 30 2008

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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