Probing Topological Superconductors with Sound Waves

A new method is introduced for probing Topological Superconductors. The integration of the superconding fermions generates a topological $\mathbf{C}\mathbf{h}\mathbf{e}\mathbf{r}\mathbf{n}-\mathbf{S}\mathbf{i}\mathbf{m}\mathbf{o}\mathbf{n}\mathbf{s}$ 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.