Inertial and topological effects on a 2D electron gas

TL;DR

This paper investigates how rotation and topological defects jointly affect the energy spectrum of a 2D electron gas under strong magnetic fields, revealing novel spectral features and Hall quantization modifications.

Contribution

It introduces a combined effect of rotation and topological defects on the energy spectrum, highlighting deviations from standard Landau level behavior.

Findings

Existence of magnetic field ranges without Landau levels.

Altered Hall quantization steps.

Deviation from linear energy-magnetic field relationship.

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.