We review the properties of the recently discovered CeMIn 5 (M=Co, Ir, Rh) heavy fermion superconductors and discuss the present state of our understanding of these materials. A particular focus is the role that magnetic fields have played in elucidating the properties of these materials. Specifically, we discuss quantum oscillation measurements on CeMIn , the influence of applied field on the linear coefficient of specific heat, γ, and the nature of the HT phase diagrams in both the normal and superconducting states of these materials.
Theoretical progress and material studies of heavy fermion superconductors