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Anyons is the generic name for the particles which interchange among other according to the representation(s) of the braid group.

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How Non-abelian anyons arise in solid-state systems?

The point is that the anyons are not electronic states at all. … Instead, the fractional quantum Hall states conjectured to give rise to non-abelian anyonic degrees of freedom are complex many-body states, and the anyons are emergent, rather than fundamental degrees …
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