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Anyonic quantum chains: Fibonacci and beyond

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Motivated by the physics of the quantum Hall effect, it is natural to consider systems of interacting anyons. The simplest models which one can construct are one-dimensional chains. I will introduce these models, in close analogy to the Heisenberg spin chains, and the behaviour of these chains will be discussed. If time allows, I will also discuss generalizations by varying the types of anyons and/or the role of the topological (non-local) symmetry present in these models.

This talk is part of the TCM Blackboard Series series.

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