Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

In this work we use two theoretical candidates for describing the $\nu=5/2$ Quantum Hall state, the Moore-Read Pfaffian and its particle-hole conjugate, to calculate the conductance of a two point contact interferometer in the weak tunneling regime. We invoke the appropriate edge theory and calculate the conductance as a function of temperature and voltage, and we establish the connection to the underlying bulk topological theory.