Kitaev Honeycomb: Spin Liquid & Anyons

Flux sector visualization — click hexagons to create/fuse visons (Z₂ fluxes)

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Kitaev Model: H = −Jx Σx σxᵢσxⱼ − Jy Σy σyᵢσyⱼ − Jz Σz σzᵢσzⱼ. Each hexagonal plaquette has a conserved flux Wp = ±1. Gapped phase: |Jx|,|Jy|,|Jz| ≪ max (one bond dominates). Gapless phase (A-phase): all bonds comparable. Click hexagons to flip fluxes and create vison excitations (anyons). Phase diagram (left) shows gapped/gapless regions.