Universal anyons at the irradiated surface of topological insulator

TL;DR

This paper proposes a method to realize universal Abelian anyons on the surface of a topological insulator driven by modulated circularly-polarized light, enabling continuous tuning of their statistical angle for potential quantum computing applications.

Contribution

It introduces a novel Floquet phase on a topological insulator surface that supports tunable universal anyons through external irradiation.

Findings

External field induces a Floquet phase with Weyl semimetal analogy.

The phase exhibits a U(1) Chern-Simons gauge theory with tunable Chern number.

Platform enables observation of universal anyons with adjustable statistical angles.

Abstract

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.