Kitaev Honeycomb Model: Anyons & Flux

Kitaev's exactly-solvable honeycomb spin model supports non-Abelian anyons — quasiparticles with exotic braiding statistics. Z₂ gauge fluxes (visons) live on plaquettes; Majorana fermions hop along bonds. Click plaquettes to create/annihilate flux pairs. The energy spectrum depends on flux sector, illustrating topological ground-state degeneracy.

Kitaev Model

Flux pairs0
Total energy0.000
PhaseGapped B
Jx1.0
Jy1.0
Jz1.0
Flux (vison)
No flux
x-bond
y-bond
z-bond
Click any plaquette to toggle a Z₂ flux. Fluxes cost energy J. Pairs can braid around each other, accumulating Berry phases.