Superconducting critical temperature and upper magnetic field in Weyl semimetal

Abstract

The influence of recently discovered topological transition between type I and type II Weyl semi-metals on superconductivity is considered. A set of Gorkov equations for weak superconductivity in Weyl semi-metal under topological phase transition is derived and solved. The critical temperature has spike in the point the transition point as function of the tilt parameter of the Dirac cone determined in turn by the material parameters like pressure. The second critical magnetic field is calculated for phase I. It shows narrow domains of reentrant superconductivity associated with Landau quantization relativistic 2D electron gas.