Figure 2: Phase diagram.

Phase diagram of the Hamiltonian in equation (3). The background colour gives the overlap between the CFT state in equation (2) and the ground state of the Hamiltonian in equation (3) for a 4 × 5 lattice with open boundary conditions. C is the total Chern number of the states ψ′_T0 and ψ′_T1 on a 4 × 5 lattice with periodic boundary conditions, where ψ′_T0 (ψ′_T1) is the lowest energy state in the subspace spanned by all states with the same eigenvalues of and the translation operators in the x- and y directions as (). Within the topological phase (C=1), the two states are well separated from higher energy states in the same subspaces and flow into each other under flux insertion (like in Fig. 3b). The white square, triangle and circle mark possible parameter choices considered in the text. We omit φ₂=0 because the additional symmetries present for this case may cause the lowest energy states in the considered subspaces to be degenerate.