Expérimental
Even-denominator states of the fractional quantum Hall effect (e.g. 𝜈=5/2) are expected to host excitations that have non-abelian anyonic statistics, corresponding to quantum particles that are neither bosons nor fermions, and the ground state of which changes orthogonally upon exchanging two identical particles. Non-abelian anyons are promising candidates for the realization of topological quantum computing; however, demonstrating the existence of non-abelian statistics is an extremely challenging task, requiring advanced experiments such as interferometry, collisions, and thermal transport measurements. So far, only the latter has been achieved, in only a single system: high-mobility semiconductor GaAs heterostructures. In this project, we propose to implement heat transport and collision experiments, in bilayer graphene, which has recently been shown to host a large number of even-denominator states much more robust than in GaAs, that are thought to be non-abelian. Performing those experiments in bilayer graphene will allow demonstrating the universality of the properties of non-abelian anyons. This internship, which is planned to be followed by a PhD, involves advanced experimental techniques, including the nanofabrication of ultra-clean bilayer graphene samples in van-der-Waals heterostructures and ultra-high sensitivity thermal and noise measurements at very low temperatures and high magnetic field.