  We study excitonic pairing in nodal fermion systems characterized by a
vanishing quasiparticle density of states at the pointlike Fermi surface and a
concomitant lack of screening for long-range interactions. By solving the gap
equation for the excitonic order parameter, we obtain a critical value of the
interaction strength for a variety of power-law interactions and densities of
states. We compute the free energy and analyze possible phase transitions, thus
shedding further light on the unusual pairing properties of this peculiar class
of strongly correlated systems.
