2023/10/13 by Na, Ilyoun, McHugh, James G., Griffin, Sinéad M. +1
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con)
paper · doi:10.48550/arxiv.2310.09258
Chiral Majorana one-dimensional modes have been proposed as they key component for topological quantum computing. In this study, we explore their potential realization as hinge modes in higher-order topological superconductors. To create such phases, we engineer a sign-changing, time-reversal symmetry-breaking mass term through an ensemble of magnetic impurities on the surface of a sphere. The magnetization of this ensemble arises from the competition between the external magnetic field and the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction among the impurities, mediated by the surface Majorana modes. We determine the magnetic phase diagram and identify the optimal magnetic field to minimize orbital effects and induce a sign changing mass term. This term opens a gap in the surface spectrum, resulting in a gapless one-dimensional chiral Majorana mode along the nodal line of the mass term, thereby implementing a second-order topological superconductor.