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A theory of topological edges and domain walls
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We investigate domain walls between topologically ordered phases in two spatial dimensions and present a simple but general framework from which their degrees of freedom can be understood. The approach we present exploits the results on topological symmetry breaking that we have introduced and presented elsewhere. After summarizing the method, we work out predictions for the spectrum of edge excitations and for the transport through edges in some representative examples. These include domain walls between the Abelian and non-Abelian topological phases of Kitaev's honeycomb lattice model in a magnetic field, as well as recently proposed domain walls between spin polarized and unpolarized non-Abelian fractional quantum Hall states at different filling fractions.
Forward citations
Cited by 3 Pith papers
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Anyon Condensation In Symmetry-Enriched Topological Phases: $G$-Grading of Multifusion Categories
G-preserving anyon condensation in SET string-net models is equivalent to a compatible N-grading of the input multifusion category, which constructs the child SET input and works even with symmetry fractionalization.
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Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II -- Cutting through the boundary
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