2026-06-27T16:20:33Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/177662023-08-27T06:31:17Zcom_20.500.14352_14col_20.500.14352_15

Ortiz Martín, Laura Martín-Delgado Alcántara, Miguel Ángel 2023-06-17T21:54:35Z 2023-06-17T21:54:35Z 2016-12 0003-4916 10.1016/j.aop.2016.10.008 https://hdl.handle.net/20.500.14352/17766 http://dx.doi.org/10.1016/j.aop.2016.10.008 http://www.sciencedirect.com https://arxiv.org/pdf/1604.08656.pdf 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. eng open access A bilayer Double Semion model with symmetry-enriched topological order journal article