Anyon signatures in complex fractional quantum Hall edge transport

Anyons are exotic particles being neither bosons nor fermions, predicted in two-dimensional condensed matter systems.

They signal exotic phases of topological quantum matter and their properties are highly appealing for fault-tolerant quantum computations.Direct evidence of anyons was recently reported in the fractional quantum Hall (FQH) effect by interfering and colliding chiral edge states. So far, a single type of ``Abelian´´ anyon, with no prospects for quantum computations, was detected.

However, advancements towards detecting and classifying novel anyons, e.g., non-Abelian ones, with strong prospects for quantum computations, are currently impeded by insufficient understanding of FQH edges.

A formidable challenge is that generic anyon signatures are obscured by non-topological effects, e.g., disorder, inter-edge channel interactions, and decoherence.

Establishing the impact of such effects on anyon signals is thus pivotal to detect novel types of anyons, and to harness their potential in quantum computations.The purpose of this four year project is to overcome present limitations in detecting anyons with FQH edges: lack of understanding how non-topological edge effects impact experimental signatures of anyons.

I will develop models of such effects by combining bosonization, renormalization group, and non-equilibrium transport techniques.

Particular emphasis in the project is to lay a theoretical foundation for proposing and analyzing future FQH edge anyon experiments.