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Paper detail

Interacting Anyonic Fermions in a Two-Body Color Code Model

We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D 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 out to be strongly interacting. The model exhibits a Z_2xZ_2 gauge group symmetry and string-net integrals of motion, which are related to the existence of topological charges that are invisible to moving high-energy fermions.

preprint2009arXivOpen access
H. BombinM. KargarianM. A. Martin-Delgado
cond-mat.str-elhep-thquant-ph
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H. BombinM. KargarianM. A. Martin-Delgado

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