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\iteman{io-port 05663450}
\itemau{Bombin, H.; Kargarian, M.; Martin-Delgado, M.A.}
\itemti{Quantum 2-body Hamiltonian for topological color codes.}
\itemso{Fortschr. Phys. 57, No. 11-12, 1103-1110 (2009).}
\itemab
Summary: We introduce a two-body quantum Hamiltonian model with spins-$\tfrac12$ located on the vertices of a 2D spatial lattice. The model exhibits an exact topological degeneracy in all coupling regimes. This is a remarkable non-perturbative effect. The model has a $\Bbb Z_2\times\Bbb Z_2$ gauge group symmetry and string-net integrals of motion. There exists a gapped phase in which the low-energy sector reproduces an effective topological color code model. High energy excitations fall into three families of anyonic fermions that turn out to be strongly interacting. All these, and more, are new features not present in honeycomb lattice models like Kitaev model.
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\itemcc{}
\itemut{quantum computation; topological orders; quantum lattice Hamiltonians}
\itemli{doi:10.1002/prop.200900084}
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