About the effects of rotation on the Landau levels in an elastic medium with a spiral dislocation

TL;DR

This paper examines how rotation affects Landau levels in an elastic medium with spiral dislocation, highlighting errors caused by a common approximation in the model.

Contribution

The study critically evaluates an existing model, revealing significant errors introduced by an approximation in analyzing Landau levels under rotation.

Findings

The approximation causes quantitative errors in level spacing.

Qualitative errors are introduced in the predicted effects of rotation.

The paper emphasizes the importance of accurate boundary conditions.

Abstract

In this Paper we analyze a model proposed recently with the purpose of studying the effects of rotation on the interaction of a point charge with a uniform magnetic field in an elastic medium with a spiral dislocation. In particular we focus on the approximation proposed by the authors that consists of changing the left boundary condition in order to obtain analytical results. We show that this approximation leads to quantitative and qualitative errors, the most relevant one being a wrong prediction of the level spacing.