Unconventional Superconductivity in s-wave Superconductor-Magnet Heterostructure

Abstract

Much interest has gathered around topological superconductors, as it has been theorized that they can host exotic Majorana edge modes. These edge modes could serve as noise-resilient qubits in quantum computers, making them highly sought after. However, the experimental realization of topological superconductors has remained controversial. Some alternative methods have been proposed, one of which suggests that topological superconductivity can be induced by interactions with a magnetically ordered spin lattice. In this thesis, we expand on this idea by considering the interface between an s-wave superconductor and a quantum paramagnet, called the spin ladder. We perform a careful analysis of this system, using diagrammatics and topological invariants, and search for any emergent topological superconductivity.