Finite width of anyons changes braiding signatures
Kishore Iyer
Aix-Marseille University
Anyons are particles intermediate between fermions and bosons, characterized by a nontrivial exchange or braiding phase. Recent experiments have shown that anyonic braiding has observable consequences on edge transport in the fractional quantum Hall effect (FQHE). Central among these is the “anyon collider” experiment where beams of anyons are “collided” yielding signatures of braiding in the time domain. Here, we study transport signatures of anyonic braiding when the anyons have a finite width. We show that the width of the anyons, even extremely small, can have a tremendous impact on transport properties and braiding signatures. In particular, we find that taking the finite width into account allows us to explain recent anyon collider experiment on FQHE at filling factor 2/5. Our work shows that the finite width of anyons crucially influences setups involving anyonic braiding, especially when the exchange phase is larger than Pi/2.
