Proposal for the detection of Majorana Fermions in Topological Superconductors

Abstract

One of the goals of modern spectroscopy is to invent techniques which detect neutral excitations that have been theoretically proposed. For superconductors, two point transport measurements detect the Andreev crossed reflection which confirms the existence of the Majorana fermions. Similar information can be obtained from a measurement using two piezoelectric transducers. One transducer measures the stress tensor response from the strain field generated by the second transducer. The ratio between the stress response and strain velocity determines the dissipative response. We will show that the dissipative stress response can be used for a Topological Superconductor. We will investigate a Topological Superconductor in a magnetic field, an Abrikosov vortex lattice with Majorana dispersive fermions is formed which is used to compute the dissipative stress response and identify the Majorana fermions and quasi-particles.