Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$

We study the topologically protected Majorana zero modes induced by lattice dislocations in chiral topological superconductors. Dislocations provide a new way to realize Majorana zero modes at zero magnetic field. In particular, we study several different types of dislocations in the candidate material ${\rm Sr_2RuO_4}.$ We also discuss the properties of linked dislocation lines and linked dislocation and flux lines. Various experimental consequences are predicted which provide a new approach to determine whether nature of the superconducting phase of $\mathrm{S}{\mathrm{r}}_2\mathrm{R}\mathrm{u}{\mathrm{O}}_4\mathrm{.}$