Electronic transport in an array of quasiparticles in the ν=52 non-Abelian quantum Hall state

The Moore-Read Pfaffian ν=52 quantum Hall state is a p -wave superconductor of composite fermions. Small deviations from ν=52 result in the formation of an array of vortices within this superconductor, each supporting a Majorana zero mode near its core. We consider how tunneling between these cores is reflected in the electronic response to an electric field of a nonzero wave-vector q and frequency ω. We find a mechanism for dissipative transport at frequencies below the ν=52 gap, and calculate the q,ω dependence of the dissipative conductivity. The contributions we find depend exponentially on ν-52 -12.