Proposal for the detection of Majorana Fermions in Topological Superconductors

TL;DR

This paper proposes a novel spectroscopy-based method using piezoelectric transducers to detect Majorana fermions in topological superconductors by analyzing the dissipative stress response in a magnetic field.

Contribution

It introduces a new technique involving stress tensor response measurements with piezoelectric transducers to identify Majorana fermions in topological superconductors.

Findings

Dissipative stress response can indicate Majorana fermions.

Method applicable to topological superconductors in magnetic fields.

Potential for non-electrical detection of Majorana states.

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.