Kitaev Honeycomb — Anyonic Sectors & Phase Diagram

Kitaev's exactly-solvable honeycomb model has three gapped phases (A) and a gapless phase (B). Vortex excitations behave as non-Abelian anyons in phase B with a magnetic field. Click hexagons to flip vortex sectors.

J_x

0.33
J_y

0.33
J_z

0.34
Phase:
Ground state:
Gap Δ:
Vortex sectors: 0

x-phase   y-phase
z-phase   gapless B
vortex (W=−1)