Probing Topological Superconductors with Sound Waves

TL;DR

This paper proposes a novel method using sound waves to detect Majorana fermions in topological superconductors by analyzing sound absorption related to topological and Majorana modes.

Contribution

It introduces a new approach employing sound waves to probe topological superconductors and detect Majorana fermions through their unique sound absorption signatures.

Findings

Sound absorption occurs below the superconducting gap due to Majorana modes.

Dislocations induce Majorana zero modes affecting the Hamiltonian.

Sound waves can serve as a tool for detecting Majorana fermions.

Abstract

A new method is introduced for probing Topological Superconductors. The integration of the superconding fermions generates a topological $\mathbf{Chern-Simons}$ sound action . Dislocations induce Majorana zero modes inside the sample, resulting in a new Hamiltonian which couple the Majorana modes, the electron field and the non-Abelian strain field sound. This Hamiltonian is used to compute the anomalous sound absorption. The Topological superconductor absorbs sound below the superconducting gap due to the transition between the quasi particles and the Majorana fermions. The sound waves offers a new tool for detecting Majorana fermions.