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A Generalization of Non-Abelian Anyons in Three Dimensions
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We introduce both an exactly solvable model and a coupled-layer construction for an exotic, three-dimensional phase of matter with immobile topological excitations that carry a protected internal degeneracy. Unitary transformations on this degenerate Hilbert space may be implemented by braiding certain point-like excitations. This provides a new way of extending non-Abelian statistics to three-dimensions.
Forward citations
Cited by 2 Pith papers
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Sorting topological stabilizer models in three dimensions
New bulk commutation diagnostics coarsely sort translation invariant 3D stabilizer codes into TQFT, foliated type-I, fractal type-I, or type-II topological order.
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Anisotropic layer construction of anisotropic fracton models
A coupled-layer construction from stacked 2D toric codes produces an exactly solvable anisotropic fracton model with lineon and planon excitations.
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