Kitaev Honeycomb Model

Spin-½ on a honeycomb lattice → Majorana fermions → non-Abelian anyons

Coupling Parameters

Phase: -

Gap: -

Chern ν: -

Braid phase: -

Kitaev (2003): exactly solvable spin model on honeycomb. Three gapped phases (A_x, A_y, A_z) plus a gapless B phase. With magnetic field, B becomes non-Abelian (ν=±1). Anyons braid with non-trivial matrix representations.