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Anyonic quantum chains: Fibonacci and beyond

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If you have a question about this talk, please contact Joe Bhaseen.

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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