Detecting Majorana fermions in topological superconductors using stress
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 Majorana fermions. We suggest that similar information can also 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 propose and show theoretically that the dissipative stress response can be used for studying excitations in a topological superconductor. We investigate a topological superconductor for the case when an Abrikosov vortex lattice is formed. In this case the Majorana fermions are dispersive, a fact that is used to compute the dissipative stress response. - Highlights: • We show that the dissipative stress response can be used to study excitations in a topological superconductor. • We have proposed a sound analogue of the Andreev cross reflection. • We have demonstrated that in the presence of an Abrikosov vortex lattice in a topological superconductor, the Majorana fermions are dispersive.