Kitaev Honeycomb Model
Ising anyons, topological phases & bond interactions on the honeycomb lattice
Phase Controls
J
x
:
0.5
J
y
:
0.3
J
z
:
0.6
Magnetic field κ:
0.1
Phase: A (Gapped)
Add Anyon
Clear
x-bonds
y-bonds
z-bonds
Anyons
Key Physics
H = -Σ Jₓσˣσˣ - Σ Jᵧσʸσʸ - Σ J_z σᶻσᶻ
Phase B: |Jₓ|+|Jᵧ| < |J_z| → gapped Ising anyons
Topological: W_p = σ₁ˣσ₂ʸσ₃ᶻσ₄ˣσ₅ʸσ₆ᶻ
Non-Abelian anyons: θ = π/8 braiding phase