U(1)-enriched higher-order topological superconductor in WTe$_2$ with controllable Majorana zero modes

We study the superconducting instability of monolayer WTe2. Modeling the electron-electron interactions of the system with a Hubbard on-site repulsive interaction, we still find a superconducting instability due to the Kohn-Luttinger mechanism. We find the leading instability of the resulting superconductor to be p-wave and to have nontrivial higher-order topology. In addition, we show that the U(1) spin-rotational symmetry in one of the superconducting states enables spatial control of the corner Majorana zero mdoes, leading to possible applications for fault tolerant quantum computations.