Froehlich J., Rey-Bellet L. Low-temperature phase diagrams of quantum lattice systems. III. Examples. (96K, LaTeX) ABSTRACT. We use the low-temperature expansion and the extension of Pirogov-Sinai theory developed in \cite{dff}, and the perturbation theory of \cite{dfr} to describe the phase diagrams of two families of fermionic lattice systems at low-temperature: the balanced model and a variant of the $t-J$ model.