The Moore-Read Pfaffian $\nu =5∕2$ quantum Hall state is a $p$-wave superconductor of composite fermions. Small deviations from $\nu =5∕2$ 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 $\mathbf{q}$ and frequency $\omega$. We find a mechanism for dissipative transport at frequencies below the $\nu =5∕2$ gap, and calculate the $\mathbf{q},\omega$ dependence of the dissipative conductivity. The contributions we find depend exponentially on $\mid \nu -5∕2{\mid }^{-1∕2}$.

• Received 11 April 2006

DOI:https://doi.org/10.1103/PhysRevB.73.201303