Topological Thermal Hall Conductance of Even-Denominator Fractional States

The even-denominator fractional quantum Hall (FQH) states ν=5/2 and ν=7/2 have been long predicted to host non-Abelian quasiparticles. Their present energy-carrying neutral modes are hidden from customary conductance measurements and thus motivate thermal transport measurements, which are sensitive to all energy-carrying modes. While past two-terminalthermal conductance (k2tT) measurements already proved the non-Abelian nature of the ν=5/2 FQH state, they might have been prone to a lack of thermal equilibration among the counterpropagating edge modes. Here, we report a novel thermal Hall conductance measurement of the ν=5/2 and ν=7/2 states, being insensitive to equilibration among edge modes. We verify the state's non-Abelian nature, with both states supporting a single upstream Majorana edge mode (hence, a particle-hole Pfaffian order). While current numerical works predict a different topological order, this contribution should motivate further theoretical work. © 2024 American Physical Society.