Katharina Laubscher

Affiliation

University of Basel

Title of work

RKKY interaction at helical edges of topological superconductors

Abstract

We study spin configurations of classical magnetic impurities placed close to the edge of a two-dimensional topological superconductor. First, we demonstrate that the spin of a single magnetic impurity close to the edge of a topological superconductor tends to align along the edge. The strong easy-axis spin anisotropy behind this effect originates from the interaction between the impurity and the gapless helical Majorana edge states. We then compute the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic impurities placed close to the edge.
We show that, in the limit of large inter-impurity distances, the RKKY interaction between the two impurities is mainly mediated by the Majorana edge states and leads to a ferromagnetic alignment of both spins along the edge. We argue that this effect can be used to detect helical Majorana edge states.