Controlling Majorana modes by p-wave pairing in two-dimensional p + id topological superconductors

This talk will discuss the Majorana edge modes in a two-dimensional p + id topological superconductor. Starting with a topological p-wave superconductor in either the chiral or helical phase, we show that the edge modes behave quite differently in the presence of d-wave superconducting order, depending on the aforementioned phase. In particular, for a rectangular geometry, we find that in the helical phase, a localized Majorana mode appears at each of the four corners. In the chiral phase, the relative size between the p- and d-wave order parameters can induce a phase transition, where the system goes from a state in which edge modes appear on all four edges, to one where they appear on only two, opposite, edges. We further discuss how strain may be used to fine-tune the behaviour of the edge modes.