  We develop a theory of tunneling between two systems of spinless chiral
fermions. This setup can be realized at the edge of a quantum Hall bilayer
structure. We find that the differential conductance of such a device in the
absence of interactions has an infinitely sharp peak as a function of applied
voltage. Interaction between fermions results in broadening of the conductance
peak. We focus on the regime of strong interactions, in which the shape of the
peak manifests well defined features associated with the elementary excitations
of the system.
