2DEG on a cylindrical shell with a screw dislocation

Abstract

A two dimensional electron gas on a cylindrical surface with a screw dislocation is considered. More precisely, we investigate how both the geometry and the deformed potential due to a lattice distortion affect the Landau levels of such system. The case showing the deformed potential can be thought in the context of 3D common semiconductors where the electrons are confined on a cylindrical shell. We will show that important quantitative differences exist due to this lattice distortion. For instance, the effective cyclotron frequency is diminished by the deformed potential, which in turn enhances the Hall conductivity.

References in corpus (5)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Bilayer graphene Origami: curvature-induced p-n junctions
• Two-dimensional electron gas under the effect of constrained potential and magnetic field in curved space
• Inhomogeneous micro-strain in cylindrical semiconductor heterostructures and its influence on the adiabatic motion of electrons

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