Extracting the scaling dimension of quantum Hall quasiparticles from thermal noise


  Noam Schiller [1]  ,  Yuval Oreg [1]  ,  Kyrylo Snizhko [1,2]  
[1] Weizmann Institute of Science
[2] Institut für Nanotechnologie, Karlsruhe

Fractional quantum Hall quasiparticles are generally characterized by two quantum numbers: electric charge Q and scaling dimension Δ. For the simplest states (such as the Laughlin series) the scaling dimension determines the quasiparticle's anyonic statistics (the statistical phase θ=2πΔ). For more complicated states (featuring counterpropagating modes or non-Abelian statistics) knowing the scaling dimension is not enough to extract the quasiparticle statistics. Nevertheless, even in those cases knowing the scaling dimension facilitates distinguishing different candidate theories for describing the quantum Hall state at a particular filling (such as PH-Pfaffian and anti-Pfaffian at ν=5/2). Here we propose a scheme for extracting the scaling dimension of quantum Hall quasiparticles from thermal tunneling noise produced at a quantum point contact. Our scheme features the level of robustness and simplicity comparable to extracting the quasiparticle charge from tunneling shot noise - a method which is in use for over 20 years by now.