The Dissipative Flow in Topological Superconductors and Solid <sup>4</sup>He

Abstract

Using two piezoelectric transducers, one 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. In the first part, we show 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. In the second part, we analyse the dissipative superfluid flow through solid 4 He discoused recently. We identify low energy, an excitation which plays the role of the Majorana mode which is free to move in a direction perpendicular to the two dimensional plane spaces of the dislocations.

Combined Screw and Wedge Dislocations

“…We are not aware of experimental confirmation of the geometric theory of defects, but there have been some attempts to use these ideas in explaining the known properties of real solids (see, for example, [42][43][44]).…”