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Superconductivity has been experimentally observed in monolayer WTe2, whichin-plane field measurements suggested are of spin-triplet nature. Furthermore,it has been proposed that with a $p$-wave pairing, the material is asecond-order topological superconductor with a pair of Majorana zero modes atthe corners of a finite sample. We show that for a repulsive on-siteinteraction and sizable Fermi surfaces, the desired p-wave state arisesnaturally due to the Kohn-Luttinger mechanism, and indeed a finitesuperconducting sample hosts corner Majorana zero modes. We study the behaviorof the critical temperature in response to external in-plane magnetic fields.We find an enhancement to the critical temperature that depends on thedirection of the magnetic field, which can be directly verified experimentally.

Higher-order topological superconductivity in monolayer WTe$_2$ from repulsive interactions