"The Z2 toric-code and the double-semion topological order of hardcore " by Wei Wang and Barbara Capogrosso-Sansone
 

Physics

Document Type

Article

Abstract

We present a generic framework for the emergence of the {{\mathbb{Z}}}-{2} Z 2 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.

Publication Title

Scientific Reports

Publication Date

12-2017

Volume

7

Issue

1

ISSN

2045-2322

DOI

10.1038/s41598-017-11299-6

Keywords

Monte Carlo method, ground state, spin system

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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