Full proximity approach to induced gap in topological superconductor junctions

Recently, a Josephson junction formed from a two-dimensional electron gas (2DEG) proximitized by two superconductors subjected to an in-plane magnetic field has emerged as a viable platform to realize topological superconductivity [1-3]. In this talk, we address the proximity-induced superconductivity in this setup by studying the full proximity model of a superconductor-insulator-superconductor junction in contact with a spin-orbit-coupled substrate. To this end, we numerically solve the Bogoliubov-de Gennes Hamiltonian of this model and study the effect of spin-orbit coupling and thickness of the substrate on the induced pairing amplitude and energy dispersion. Finally, we will discuss the topological phase diagram of multiband topological Josephson junctions for a thick substrate.

[1] Pientka et al., PRX 7, 021032 (2017).
[2] Fornieri et al., arXiv:1809.03037.
[3] Ren et al., arXiv:1809.03076.