| I will discuss some recent work on the Square-Octagon Kitaev model variant. The model possesses a 4-spin unit cell and as such can be mapped to a lattice p-wave fermionic system with an internal pseudo-spin degree of freedom. The phase diagram of the model is surprisingly rich, possessing distinct Abelian and non-Abelian phases with total Chern number ν = 0,±1, ±2, ±3 and ±4. We provide details of the Jordan-Wigner solution of the model, the phase diagram, and discuss how the Chern numbers of the individual bands combine. |
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