Free parafermions
Journal of Physics A: Mathematical and Theoretical IOP Publishing 47:7 (2014) 075001
Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure
Physical Review X American Physical Society (APS) 4:1 (2014) 011036
Fibonacci topological order from quantum nets.
Physical review letters 110:26 (2013) 260408
Abstract:
We analyze a model of quantum nets and show it has a non-Abelian topological order of doubled-Fibonacci type. The ground state has the same topological behavior as that of the corresponding string-net model, but our Hamiltonian can be defined on any lattice, has less complicated interactions, and its excitations are dynamical, not fixed. This Hamiltonian includes terms acting on the spins around a face, around a vertex, and special "Jones-Wenzl" terms that serve to couple long loops together. We provide strong evidence for a gap by exact diagonalization, completing the list of ingredients necessary for topological order.Exactly solvable lattice models with crossing symmetry
Journal of Physics A: Mathematical and Theoretical IOP Publishing 46:10 (2013) 105002
Entanglement in gapless resonating-valence-bond states
New Journal of Physics IOP Publishing 15:1 (2013) 015004