2DEG on a cylindrical shell with a screw dislocation

TL;DR

This paper studies how a screw dislocation affects the electronic properties of a 2D electron gas on a cylindrical shell, revealing that lattice distortions modify Landau levels and enhance Hall conductivity.

Contribution

It introduces the impact of lattice deformation on Landau levels and Hall conductivity in a cylindrical 2DEG with a screw dislocation, highlighting quantitative differences due to the deformed potential.

Findings

Deformed potential diminishes the effective cyclotron frequency.

Lattice distortion enhances Hall conductivity.

Quantitative differences arise from the screw dislocation effects.

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.