Landau levels in the presence of a screw dislocation

We study electrons moving in a magnetic field in the presence of a screw di slocation. We focus on the influence of the screw dislocation on the energy spectrum of the electron (or hole) in the magnetic field, in a continuum t heory of defects that is isomorphic to three-dimensional gravity. We find e xact expressions for the eigenfunctions and eigenvalues of the energy and v erify that the infinite degeneracy of the Landau levels is broken by the un usual boundary conditions imposed by the defect.