Collective states of interacting Fibonacci anyons.

  title={Collective states of interacting Fibonacci anyons.},
  author={Simon Trebst and Eddy Ardonne and Adrian E. Feiguin and David A Huse and Andreas W. W. Ludwig and Matthias Troyer},
  journal={Physical review letters},
  volume={101 5},
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… CONTINUE READING