Condensed Matter Seminar with Thierry Martin: Detection of anyon scaling dimension and braiding properties in the fractional Quantum Hall Ef

Event details Date: Monday, August 31, 2026 Time: 2:30 PM to 2:30 PM Location: McCone Hall 141 Type: Lecture / Workshop About this event For the almost half of a century, anyons in the FQHE have been proposed as excitations which carry fractional charge and statistics, thus bridging between fermions and bosons. I will review briefly the protocols and experiments that have allowed over the years to access their fractional charge, scaling dimension and their braiding/statistical angle. Next, I shall propose an experimental setup to measure “directly” the statistical/braiding angle of anyons. The setup involves an Ω-shaped junction along a fractional quantum Hall liquid edge, formed by defining an open quantum dot. In the weak tunneling regime, the charge current when an anyon is injected upstream from the Ω-junction is computed, showing that its time evolution depends solely on the anyon statistical properties, with temperature and scaling dimension affecting only a constant pre-factor. Next, to connect with experiments, the noise cross-correlation is computed between a Poissonian anyon source impinging on the Ω (originating from another tunnel coupled DC biased edge state) and the current downstream from the Ω junction, providing a realistic, direct method to detect anyon braiding statistics. As the predicted signal suffers thermal suppression for large open quantum dots, a generalization of the above results including charging effects is proposed, with no major modification of the initial protocol. The robustness of these results against the coupling to a dissipative environment is finally discussed. Official event details: https://events.berkeley.edu/physics/event/309723-condensed-matter-seminar-with-thierry-martin-detectio