Monolayer WTe₂ superconductivity from repulsive interactions

Superconductivity has been observed in WTe₂. However the exact nature of the order parameter is yet unclear. Furthermore, it has been proposed that with a p-wave pairing, the material is a second-order topological superconductor with a pair of Majorana zero modes at the corners of a finite sample. We show that the desired p-wave state arises naturally as a consequence of the Kohn-Luttinger mechanism. We further study the behaviour of the system in response to external in-plane magnetic fields. We find an enhancement to the critical temperature that depends on the direction of the magnetic field.