%0 Journal Article
%A Ortiz Martín, Laura
%A Martín-Delgado Alcántara, Miguel Ángel
%T A bilayer Double Semion model with symmetry-enriched topological order
%D 2016
%@ 0003-4916
%U https://hdl.handle.net/20.500.14352/17766
%X 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.
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