  We study the strong enhancement, induced by random hopping, of the critical
temperatures characterizing the transitions to superconductivity,
charge-density wave and antiferromagnetism, which can occur in bipartite
lattice models at half-filling, like graphene, by means of an extended
Finkel'stein non-linear $\sigma$-model renormalization group approach. We show
that, if Cooper channel interaction dominates, superconducting critical
temperature can be enhanced at will, since superconductivity cannot be broken
by entering any Anderson insulating phase. If, instead, staggered interactions
are relevant, antiferromagnetic order is generated by disorder at a temperature
well above that expected for a clean system.
