Interacting Anyonic Fermions in a Two-Body Color Code Model

Details Interacting Anyonic Fermions in a Two-Body Color Code Model Interacting Anyonic Fermions in a Two-Body Color Code Model

2008-11-06

arxiv.org/abs/0811.0911v2

Phys.Rev.B80:075111,2009

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX 4, 2 figures, longer version

Scientific paper

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.

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