Resonant Contributions to Oscillatory Phenomena under Conditions of Magnetic Breakdown during Reconstructions of Electron Dynamics on the Fermi Surface

We consider here special closed electron trajectories that arise during reconstructions of electron dynamics on the Fermi surface in the presence of strong magnetic fields, as well as the phenomenon of intraband magnetic breakdown that occurs on such trajectories. We consider cases where the electronic spectrum arising in such a situation corresponds to the resonant contribution to quantum oscillations. In the paper, all cases where this occurs are singled out, and the possible influence of the appearance of the Berry phase and other effects on the described phenomena is also considered.