Partial equilibration of anti-Pfaffian edge modes at v=5/2

The thermal Hall conductance K of the fractional quantum Hall state at filling fraction v = 5/2 has recently been measured to be K = 2.5 pi(2)k(B)(2)T/3h [M. Banerjee et al. Nature (London) 559, 205 (2018)]. The half-integer value of this result (in units of pi(2)k(2)(B)T/3h) provides strong evidence for the presence of a Majorana edge mode and a corresponding quantum Hall state hosting quasiparticles with non-Abelian statistics. Whether this measurement points to the realization of the PH-Pfaffian or the anti-Pfaffian state has been the subject of debate. Here we consider the implications of this measurement for anti-Pfaffian edge-state transport. We show that in the limit of strong Coulomb interaction and an approximate spin degeneracy in the lowest Landau level, the anti-Pfaffian state admits low-temperature edge phases that are consistent with the Hall conductance measurements. These edge phases can exhibit fully equilibrated electrical transport coexisting with partially equilibrated heat transport over a range of temperatures. Through a study of the kinetic equations describing low-temperature electrical and heat transport of these edge states, we determine regimes of parameter space, controlling the interactions between the different edge modes that agree with experiment.