Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way

J. -N. Fuchs, S. Patil, J. Vidal

In two dimensions, topological phases of free Majorana fermions coupled to a ${\mathbb{Z}}_2$ gauge field are known to be classified according to the Chern number $\nu \in \mathbb{Z}$.…