text: Note that the original Kitaev model (1) has three- 
  fold rotation symmetry around a honeycomb lattice site, 
  combined with a three-fold rotation in pseudo-spin space 
  (cyclic permutation of τ x, τ y, τ z). This is not apparent 
  in our model (8) in terms of physical spins, under the 
  current representation of τ x,y,z. We can remedy this by 
  using a diﬀerent set of pseudo-spin Pauli matrices τ ′x,y,z 
  in (7), 
  
  ′x = 
  τ 
  τ ′y = 
  ′z =  1/3τ z + 
  1/3τ z 
  1/3τ z  2/3τ x, 
  1/6τ x + 
  1/6τ x 
  
  p 
  
  1/2τ y, 
  1/2τ y 
  p 
  τ 
  p 
  − p  − p 
  
  With proper representation choice, they have a symmet- 
  ric form in terms of physical spins, 
  
  ′x = 
  τ 
  τ ′y = 
  τ ′z =  (4/3)S4  (S2  S3) +  2/3(2S1  S4 + 1/2) 