Threading dislocation densities in semiconductor crystals: A geometric approach

► Geometric model describing the origin of the observed shallow levels in semiconductors threaded by a dislocation density. ► Binding charge carriers in Landau-like levels due to the presence of a density of screw dislocations. ► Bound states for a spin-half quantum particle for both repulsive and attractive Coulomb-like potentials. ► Dependence of the cyclotron frequency on the quantum numbers n, l and s.