A bilayer Double Semion model with symmetry-enriched topological order



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Ortiz Martín, Laura and Martín-Delgado Alcántara, Miguel Ángel (2016) A bilayer Double Semion model with symmetry-enriched topological order. Annals of physics, 375 . pp. 193-226. ISSN 0003-4916

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Official URL: http://dx.doi.org/10.1016/j.aop.2016.10.008


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.

Item Type:Article
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© 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.

Uncontrolled Keywords:Quantized hall conductance; Zero modes; Quantum; Superconductors; Insulators; States; Statistics; Particles; Vortices; Fermions
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:42406
Deposited On:08 May 2017 09:10
Last Modified:08 May 2017 10:01

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