Universal anyons at the irradiated surface of topological insulator

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.

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Weyl Semimetal in a Topological Insulator Multilayer
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Topological response in Weyl semimetals and the chiral anomaly
• Floquet-Bloch theory and topology in periodically driven lattices
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Floquet Fractional Chern Insulator in Doped Graphene
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Radiation effects on the electronic structure of bilayer graphene