Heavy fermion superconductors

As typical examples of prototype strongly correlated electron systems, heavy fermion materials exhibit rich physical properties. Due to the complicated interactions between electrons, the superconducting pairing mechanisms in heavy fermion superconductors can be extraordinarily diverse. In this paper we will discuss the basic and exotic properties of heavy fermion superconductors by taking CeCu₂Si₂, CeMIn₅, and UTe₂ as examples, while focusing on the close interplay between superconductivity and antiferromagnetism/ferromagnetism. In addition, we will review the impact of broken time/spatial symmetry on the superconducting order parameter. At the end, we will briefly list a few novel competing orders induced superconducting states in heavy fermion materials.