Topological superconductivity and Majorana bound states at the LaAlO${}_3$/SrTiO${}_3$ interface

Abstract

The interface between two band insulators LaAlO${}_3$ and SrTiO${}_3$ exhibits low-temperature superconductivity coexisting with an in-plane ferromagnetic order. We show that topological superconductivity hosting Majorana bound states can be induced at the interface by applying a magnetic field perpendicular to the interface. We find that the dephasing effect of the in-plane magnetization on the topological superconducting state can be overcomed by tuning a gate-voltage. We analyze the vortex-core excitations showing the zero-energy Majorana bound states and the effect of non-magnetic disorder on them. Finally, we propose an experimental geometry where such topological excitations can be realized.

6 pages, 6 figures

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