Topological defects, such as domain walls and vortices, have
long fascinated physicists. A novel twist is added in quantum systems like
superfluid helium He$_3$, where vortices are associated with low energy
excitations in the cores. Similarly, cosmic strings which are vortices of
the Higgs field, may be tied to propagating fermion modes. Can analogous
phenomena occur in crystalline solids that host a plethora of topological
defects? In this talk I will show that indeed dislocation lines are
associated with one dimensional fermionic excitations in a `topological
insulator', a novel band insulator believed to be realized in the bulk
material Bi$_{0.9}$Sb$_{0.1}$. In contrast to electrons in a regular
quantum wire, these modes are topologically protected, and not scattered
by disorder. Since dislocations are ubiquitous in real materials, these
excitations could dominate spin and charge transport in topological
insulators. Our results provide a novel route to creating a potentially
ideal quantum wire in a bulk solid.