Publication: A bilayer Double Semion model with symmetry-enriched topological order
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Ortiz Martín, Laura
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We construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called ﬂavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched topological order. A honeycomb bilayer lattice is introduced to combine a Double Semion Topolgical Order with a global spin-ﬂavour symmetry to get the fractionalization of its quasiparticles. The bDS model exhibits non-trival braiding self-statistics of excitations and its dual model constitutes a Symmetry-Protected Topological Order with novel edge states. This dual model gives rise to a bilayer Non-Trivial Paramagnet that is invariant under the ﬂavour symmetry and the well-known spin ﬂip symmetry.
© 2017 Elsevier B.V. We acknowledge ﬁnancial support from the Spanish MINECO grants FIS2012-33152, FIS2015-67411, and the CAM research consortium QUITEMAD+, Grant No. S2013/ICE-2801. The research of M.A.M.-D. has been supported in part by the U.S. Army Research Oﬃce through Grant No. W911N F-14-1-0103.