We discuss the critical behaviour of 2D Ising and q-states Potts model
s coupled by their energy density. We found new tricritical points. Th
e procedure employed is the renormalisation approach of the perturbati
ons series around conformal field theories representing pure models as
already used for disordered spins models. This analysis could be usef
ul to understand the physics of coupled critical models like the fully
frustrated XY model. (C) 1997 Elsevier Science B.V.