Author(s):Rui Wang

Anyons have recently received great attention due to their promising

application in topological quantum computation. The best validated system that

enjoys the anyonic excitations are the Laughlin states. The quasi-particles in

Laughlin states are neither fermions nor bosons but possess the discrete

statistical angle ? = ?=m, with m being an integer. Here we report a possible

realization of the universal Abelian anyons, whose statistical angle can be

tuned continuously by external parameters and can take any arbitrary values

interpolating ? = 0 and ? = ?. The proposed setup is the surface state of a

three dimensional topological insulator driven by an amplitude-modulated

circularly-polarized light. It is found that the external field leads to a

particular Floquet phase, which is a two-spatial-dimensional analogy of the

Weyl semimetal phase in the Floquet first Brillouin zone. The chiral anomaly of

this phase results in a U(1) Chern-Simons gauge theory with a tunable Floquet

Chern number. Owing to this underlying gauge field theory, the irradiated

surface of topological insulator constitutes a promising platform for the

observation of the universal anyons.

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