Restoration of superconductivity in high magnetic fields in UTe₂

It was theoretically predicted more that 20 years ago [A.G. Lebed and K. Yamaji, Phys. Rev. Lett. 80, 2697 (1998)] that a triplet quasi-two-dimensional (Q2D) superconductor could restore its superconducting state in parallel magnetic fields, which are higher than its upper critical magnetic field, H > H_c2(0). It is very likely that recently such phenomenon has been experimentally discovered in the Q2D superconductor UTe₂ by Nicholas Butch, Sheng Ran and their colleagues and has been confirmed by Japanese-French team. We review our previous theoretical results, using such a general method that it describes the reentrant superconductivity in the above mentioned compound as well as will hopefully describe the similar phenomena, which can be discovered in other Q2D superconductors.