Abstract:
The review is focused on one of the most exotic families of iron-based superconductors belonging to the AFeAs structural class, where A is an alkali metal. We briefly concern physical and electronic properties of the typical members of this family, LiFeAs and NaFeAs, discuss the theoretical models describing the multigap superconducting state, and the experimental data available in literature. As well, we specify the main unsolved problems, that seem crucial for both, the AFeAs family and for iron-based superconductors in general.