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• W3011870880 abstract "We study effectively one-dimensional systems that emerge at the edge of a two-dimensional topologically ordered state, or at the boundary between two topologically ordered states. We argue that anyons of the bulk are associated with emergent symmetries of the edge, which play a crucial role in the structure of its phase diagram. Using this symmetry principle, transitions between distinct gapped phases at the boundaries of Abelian states can be understood in terms of symmetry breaking transitions or transitions between symmetry protected topological phases. Yet more exotic phenomena occur when the bulk hosts non-Abelian anyons. To demonstrate these principles, we explore the phase diagrams of the edges of a single and a double layer of the toric code, as well as those of domain walls in a single and double-layer Kitaev spin liquid (KSL). In the case of the KSL, we find that the presence of a non-Abelian anyon in the bulk enforces Kramers-Wannier self-duality as a symmetry of the effective boundary theory. These examples illustrate a number of surprising phenomena, such as spontaneous duality-breaking, two-sector phase transitions, and unfreezing of marginal operators at a transition between different gapless phases." @default.
• W3011870880 created "2020-03-23" @default.
• W3011870880 creator A5009846500 @default.
• W3011870880 creator A5061804933 @default.
• W3011870880 creator A5077203534 @default.
• W3011870880 creator A5080237536 @default.
• W3011870880 creator A5088795401 @default.
• W3011870880 date "2021-08-23" @default.
• W3011870880 modified "2023-10-14" @default.
• W3011870880 title "Bulk anyons as edge symmetries: Boundary phase diagrams of topologically ordered states" @default.
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• W3011870880 doi "https://doi.org/10.1103/physrevb.104.075141" @default.
• W3011870880 hasPublicationYear "2021" @default.
• W3011870880 type Work @default.
• W3011870880 sameAs 3011870880 @default.

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