Volume 45, Number 3, February 1999
|Page(s)||279 - 282|
|Published online||01 September 2002|
Landau levels in the presence of a screw dislocation
Laboratório de Física Teórica e Computacional,
Departamento de Física
Universidade Federal de Pernambuco -
50670-901 Recife, PE, Brazil
Accepted: 25 November 1998
We study electrons moving in a magnetic field in the presence of a screw dislocation. 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 theory of defects that is isomorphic to three-dimensional gravity. We find exact expressions for the eigenfunctions and eigenvalues of the energy and verify that the infinite degeneracy of the Landau levels is broken by the unusual boundary conditions imposed by the defect.
PACS: 02.40.Ky – Riemannian geometries / 61.72.Lk – Linear defects: dislocations, disclinations / 03.65.Ge – Solutions of wave equations: bound states
© EDP Sciences, 1999
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