Lifshitz transitions induced by magnetic field

The Fermi surface can be changed by different external conditions like, e.g., pressure or doping. It can lead to a change in the Fermi surface topology, called as the Lifshitz transition. Here, we briefly describe the Lifshitz transitions induced by the external magnetic field in a one-dimensional optical lattice and iron-based superconductors. We also discuss physical consequences emerging from these transitions.