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arXiv · 1302.2951

A K matrix Construction of Symmetry Enriched Phases of Matter

Ling-Yan Hung·Yidun Wan
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Abstract

We construct in the K matrix formalism concrete examples of symmetry enriched topological phases, namely intrinsically topological phases with global symmetries. We focus on the Abelian and non-chiral topological phases and demonstrate by our examples how the interplay between the global symmetry and the fusion algebra of the anyons of a topologically ordered system determines the existence of gapless edge modes protected by the symmetry and that a (quasi)-group structure can be defined among these phases. Our examples include phases that display charge fractionalization and more exotic non-local anyon exchange under global symmetry that correspond to general group extensions of the global symmetry group.

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Ling-Yan Hung, Yidun Wan. 2013-02-12. A K matrix Construction of Symmetry Enriched Phases of Matter. https://doi.org/10.1103/physrevb.87.195103

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