Inertial-Hall effect: the influence of rotation on the Hall conductivity

TL;DR

This paper explores how rotation influences the Hall conductivity in a 2D electron gas under magnetic fields, highlighting the significance of inertial effects in quantum Hall systems.

Contribution

It introduces a theoretical analysis of inertial effects on Hall conductivity in a rotating 2D electron gas, an area previously overlooked in quantum mechanics.

Findings

Rotation modifies the Hall conductivity in the system.

Inertial effects can be significant in quantum Hall phenomena.

The study provides a framework for understanding inertial influences in quantum systems.

Abstract

Inertial effects play an important role in classical mechanics but have been largely overlooked in quantum mechanics. Nevertheless, the analogy between inertial forces on mass particles and electromagnetic forces on charged particles is not new. In this paper, we consider a rotating non-interacting planar two-dimensional electron gas with a perpendicular uniform magnetic field and investigate the effects of the rotation in the Hall conductivi