We review the main mechanisms of the interplay between magnetism and superconductivity, and discuss first the properties of the conventional s‐wave antiferromagnetic and ferromagnetic superconductors. In the case of ferromagnetism, its antagonism with superconductivity leads to spectacular effects such as a reentrant superconductivity and the domain magnetic structure formation. It is now accepted that in heavy‐fermion compounds (HFCs) the superconductivity is unconventional. Here we analyze the ( P , T ) phase diagram with special focus on the stability of the different phases at T → 0 K. In the recently discovered ferromagnetic heavy‐fermion superconductors, the Cooper pairing appears to be a triplet. The studies of the properties of these compounds will certainly open a new chapter in the physics of superconductivity. We also discuss the particularities of the proximity effect in superconductor–ferromagnet heterostructures: the damped oscillatory behavior of the Cooper pair wave function and the conditions for the novel π‐Josephson junctions formation, which open an interesting perspective for the potential applications of these structures.
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