Weizmann Institute of Science
Shot noise detection of abelian and non-abelian quasiparticles' charges
The fractional quantum Hall effect gives rise to strongly correlated electronic phases that support quasiparticles with a fractional charge and exhibit anyonic exchange statistics. Of particular interest are the parafermionic states, which are predicted to have a non-abelian topological order and may be useful in fault-tolerant quantum computation. In this study, we explore the application of quantum shot noise to detect the charge of various fractional states, including the delicate non-abelian ones. We introduce a novel device called ‘interface quantum point contact’, which enables a new series of shot noise experiments. In particular, recent findings [1] show the significance of the bulk filling factor in determining the Fano Factor in shot noise measurements in the fractional regime with v <1, emphasizing its importance. Our current research concentrates on measuring the charge of non-abelian candidate states, specifically the v=5/2 and v=12/5. For the v=5/2 state, we observed e*=e/4. However, despite considerable adjustments to heterostructures and fabrication techniques, measuring the shot noise in v=12/5 remains challenging.
[1] S. Biswas et. al., Nat. Phys 2022