Inertial and topological effects on a 2D electron gas
arXiv:1708.04647 · doi:10.1088/2399-6528/aa8aa3
Abstract
In this work, we study how the combination of rotation and a topological defect can influence the energy spectrum of a two dimensional electron gas in a strong perpendicular magnetic field. A deviation from the linear behavior of the energy as a function of magnetic field, caused by a tripartite term of the Hamiltonian, involving magnetic field, the topological charge of the defect and the rotation frequency, leads to novel features which include a range of magnetic field without corresponding Landau levels and changes in the Hall quantization steps.
arXiv comment11 pages,9 figures
References in corpus (12)
- Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
- Geometric Theory of Defects
- Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
- On the quantum dynamics of a point particle in conical space
- Hall state quantization in a rotating frame
- Geometric effects in the electronic transport of deformed nanotubes
- Landau levels, self-adjoint extensions and Hall conductivity on a cone
- Inertial-Hall effect: the influence of rotation on the Hall conductivity
- Quantum Hall effect on the Lobachevsky plane
- Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
- Generalized Centripetal Force Law and Quantization of Motion Constrained on 2D Surfaces
- Coherent electron transport in a helical nanotube