Quantum 2‐body Hamiltonian for topological color codes

摘要: We introduce a two-body quantum Hamiltonian model with spins- located on the vertices of 2D spatial lattice. The exhibits an exact topological degeneracy in all coupling regimes. This is remarkable non-perturbative effect. has Z2× Z2 gauge group symmetry and string-net integrals motion. There exists gapped phase which low-energy sector reproduces effective color code model. High energy excitations fall into three families anyonic fermions that turn out to be strongly interacting. All these, more, are new features not present honeycomb lattice models like Kitaev