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A two dimensional electron gas on a cylindrical surface with a screwdislocation is considered. More precisely, we investigate how both the geometryand the deformed potential due to a lattice distortion affect the Landau levelsof such system. The case showing the deformed potential can be thought in thecontext of 3D common semiconductors where the electrons are confined on acylindrical shell. We will show that important quantitative differences existdue to this lattice distortion. For instance, the effective cyclotron frequencyis diminished by the deformed potential, which in turn enhances the Hallconductivity.

2DEG on a cylindrical shell with a screw dislocation