The toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
arXiv:1612.08514 · doi:10.1038/s41598-017-11299-6
Abstract
We present a generic framework for the emergence of the toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entanglement of the model which possesses "restricted patterns" of the long-range entanglement realized in corresponding string-net models with the same topological order.
15 pages, 8 figures
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