A class of lattice four-fermion models show an interesting phase diagram, with an exotic, strong paramagnetic phase (PMS phase) where fermions are massive without the formation of any bilinear condensates. Existence of a continuum limit of this phase would imply the existence of a new mechanism for fermion mass generation without spontaneous symmetry breaking. In this talk, I'll discuss our study of one such lattice model in which a continuum limit of this phase exists in (2+1)D.