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Interacting anyonic fermions in a two-body color code model
We introduce a two-body quantum Hamiltonian model of spin $\frac{1}{2}$ on a two-dimensional spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code model. High-energy excitations fall into three families of anyonic fermions that turn …