Recent experiments [Banerjee et al., arXiv:1710.00492] have measured thermal conductance of the $\nu =5/2$ edge in a GaAs electron gas and found it to be quantized as $K\approx 5/2$ (in appropriate dimensionless units). This result is unexpected, as prior numerical work predicts that the $\nu =5/2$ state should be the anti-Pfaffian phase of matter, which should have quantized $K=3/2$. The purpose of this Rapid Communication is to propose a possible solution to this conflict: If the Majorana edge mode of the anti-Pfaffian does not thermally equilibrate with the other edge modes, then $K=5/2$ is expected. I briefly discuss a possible reason for this nonequilibration and what should be examined further to determine if this is the case.

• Received 17 February 2018

DOI:https://doi.org/10.1103/PhysRevB.97.121406