
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.
Statistical mechanics of semiconductors, Quantum Physics, FOS: Physical sciences, Gás de elétrons, Níveis de Landau, electron gas, Electron gas, 2DEG, Quantum Gases (cond-mat.quant-gas), Condutividade Hall, Quantum equilibrium statistical mechanics (general), Hall conductivity, Condensed Matter - Quantum Gases, Quantum Physics (quant-ph), Landau levels
Statistical mechanics of semiconductors, Quantum Physics, FOS: Physical sciences, Gás de elétrons, Níveis de Landau, electron gas, Electron gas, 2DEG, Quantum Gases (cond-mat.quant-gas), Condutividade Hall, Quantum equilibrium statistical mechanics (general), Hall conductivity, Condensed Matter - Quantum Gases, Quantum Physics (quant-ph), Landau levels
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